Search a number
-
+
1015661640 = 233571209121
BaseRepresentation
bin111100100010011…
…100010001001000
32121210010221211210
4330202130101020
54040002133030
6244441053120
734111660440
oct7442342110
92553127753
101015661640
11481350694
122441871a0
13132561a26
1498c67120
155e276bb0
hex3c89c448

1015661640 has 64 divisors (see below), whose sum is σ = 3482271360. Its totient is φ = 232151040.

The previous prime is 1015661627. The next prime is 1015661641. The reversal of 1015661640 is 461665101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1015661598 and 1015661607.

It is not an unprimeable number, because it can be changed into a prime (1015661641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 603721 + ... + 605400.

It is an arithmetic number, because the mean of its divisors is an integer number (54410490).

Almost surely, 21015661640 is an apocalyptic number.

1015661640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1015661640 is an abundant number, since it is smaller than the sum of its proper divisors (2466609720).

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

1015661640 is a wasteful number, since it uses less digits than its factorization.

1015661640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209142 (or 1209138 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1015661640 is about 31869.4468103856. The cubic root of 1015661640 is about 1005.1935272469.

The spelling of 1015661640 in words is "one billion, fifteen million, six hundred sixty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1209121 2418242 3627363 4836484 6045605 7254726 8463847 9672968 12091210 14509452 16927694 18136815 24182420 25391541 29018904 33855388 36273630 42319235 48364840 50783082 67710776 72547260 84638470 101566164 126957705 145094520 169276940 203132328 253915410 338553880 507830820 1015661640