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1030000032 = 253219414591
BaseRepresentation
bin111101011001001…
…000110110100000
32122210010102102100
4331121020312200
54102140000112
6250112250400
734344566355
oct7531106640
92583112370
101030000032
114894542a6
12248b40a00
13135512199
149ab1a62c
156065a2dc
hex3d648da0

1030000032 has 144 divisors (see below), whose sum is σ = 3159112320. Its totient is φ = 317260800.

The previous prime is 1030000031. The next prime is 1030000091. The reversal of 1030000032 is 2300000301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1029999969 and 1030000023.

It is not an unprimeable number, because it can be changed into a prime (1030000031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222057 + ... + 226647.

It is an arithmetic number, because the mean of its divisors is an integer number (21938280).

Almost surely, 21030000032 is an apocalyptic number.

1030000032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579556160).

1030000032 is an abundant number, since it is smaller than the sum of its proper divisors (2129112288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1030000032 is a wasteful number, since it uses less digits than its factorization.

1030000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4667 (or 4656 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 1030000032 is about 32093.6135703040. The cubic root of 1030000032 is about 1009.9016445085.

Adding to 1030000032 its reverse (2300000301), we get a palindrome (3330000333).

The spelling of 1030000032 in words is "one billion, thirty million, thirty-two", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 41 48 57 72 76 82 96 114 123 144 152 164 171 228 246 288 304 328 342 369 456 492 608 656 684 738 779 912 984 1312 1368 1476 1558 1824 1968 2337 2736 2952 3116 3936 4591 4674 5472 5904 6232 7011 9182 9348 11808 12464 13773 14022 18364 18696 24928 27546 28044 36728 37392 41319 55092 56088 73456 74784 82638 87229 110184 112176 146912 165276 174458 188231 220368 224352 261687 330552 348916 376462 440736 523374 564693 661104 697832 752924 785061 1046748 1129386 1322208 1395664 1505848 1570122 1694079 2093496 2258772 2791328 3011696 3140244 3388158 3576389 4186992 4517544 6023392 6280488 6776316 7152778 8373984 9035088 10729167 12560976 13552632 14305556 18070176 21458334 25121952 27105264 28611112 32187501 42916668 54210528 57222224 64375002 85833336 114444448 128750004 171666672 257500008 343333344 515000016 1030000032