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1230246252 = 223371831933
BaseRepresentation
bin100100101010100…
…0001000101101100
310011201220222121000
41021111001011230
510004420340002
6322024240300
742325630524
oct11125010554
93151828530
101230246252
11581495244
122a4010090
13167b54581
14b9564684
157301261c
hex4954116c

1230246252 has 96 divisors (see below), whose sum is σ = 3275112960. Its totient is φ = 399228480.

The previous prime is 1230246239. The next prime is 1230246271. The reversal of 1230246252 is 2526420321.

It is a happy number.

1230246252 is a `hidden beast` number, since 1 + 2 + 30 + 2 + 4 + 625 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 635478 + ... + 637410.

It is an arithmetic number, because the mean of its divisors is an integer number (34115760).

Almost surely, 21230246252 is an apocalyptic number.

1230246252 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 1230246252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637556480).

1230246252 is an abundant number, since it is smaller than the sum of its proper divisors (2044866708).

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

1230246252 is a wasteful number, since it uses less digits than its factorization.

1230246252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1230246252 is about 35074.8663860605. The cubic root of 1230246252 is about 1071.5127675092.

Adding to 1230246252 its reverse (2526420321), we get a palindrome (3756666573).

The spelling of 1230246252 in words is "one billion, two hundred thirty million, two hundred forty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 83 108 142 166 213 249 284 332 426 498 639 747 852 996 1278 1494 1917 1933 2241 2556 2988 3834 3866 4482 5799 5893 7668 7732 8964 11598 11786 17397 17679 23196 23572 34794 35358 52191 53037 69588 70716 104382 106074 137243 159111 160439 208764 212148 274486 318222 320878 411729 481317 548972 636444 641756 823458 962634 1235187 1443951 1646916 1925268 2470374 2887902 3705561 4331853 4940748 5775804 7411122 8663706 11391169 14822244 17327412 22782338 34173507 45564676 68347014 102520521 136694028 205041042 307561563 410082084 615123126 1230246252