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1072470520 = 2351110124133
BaseRepresentation
bin111111111011001…
…001100111111000
32202202001010222101
4333323021213320
54144023024040
6254230433144
735401564132
oct7773114770
92682033871
101072470520
11500421a80
1225b2027b4
13141262354
14a2614052
156424909a
hex3fec99f8

1072470520 has 64 divisors (see below), whose sum is σ = 2658601440. Its totient is φ = 386112000.

The previous prime is 1072470481. The next prime is 1072470527. The reversal of 1072470520 is 250742701.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072470527) 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, 32374 + ... + 56506.

Almost surely, 21072470520 is an apocalyptic number.

1072470520 is a gapful number since it is divisible by the number (10) 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 1072470520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329300720).

1072470520 is an abundant number, since it is smaller than the sum of its proper divisors (1586130920).

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

1072470520 is a wasteful number, since it uses less digits than its factorization.

1072470520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24256 (or 24252 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 1072470520 is about 32748.5956950829. The cubic root of 1072470520 is about 1023.5957037388.

The spelling of 1072470520 in words is "one billion, seventy-two million, four hundred seventy thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 4040 4444 5555 8888 11110 22220 24133 44440 48266 96532 120665 193064 241330 265463 482660 530926 965320 1061852 1327315 2123704 2437433 2654630 4874866 5309260 9749732 10618520 12187165 19499464 24374330 26811763 48748660 53623526 97497320 107247052 134058815 214494104 268117630 536235260 1072470520