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1059074970 = 235476911087
BaseRepresentation
bin111111001000000…
…011001110011010
32201210211120201220
4333020003032122
54132110344340
6253031352510
735146663062
oct7710031632
92653746656
101059074970
114a3902778
12256822736
1313b5520a5
14a09283a2
1562e9eed0
hex3f20339a

1059074970 has 64 divisors (see below), whose sum is σ = 2602008576. Its totient is φ = 275757120.

The previous prime is 1059074927. The next prime is 1059074981. The reversal of 1059074970 is 794709501.

It is a happy number.

1059074970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10590749702 = 2243279584161001800, which contains 22 as substring.

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, 973767 + ... + 974853.

It is an arithmetic number, because the mean of its divisors is an integer number (40656384).

Almost surely, 21059074970 is an apocalyptic number.

1059074970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1059074970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301004288).

1059074970 is an abundant number, since it is smaller than the sum of its proper divisors (1542933606).

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

1059074970 is a wasteful number, since it uses less digits than its factorization.

1059074970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835.

The product of its (nonzero) digits is 79380, while the sum is 42.

The square root of 1059074970 is about 32543.4320562537. The cubic root of 1059074970 is about 1019.3161409940.

The spelling of 1059074970 in words is "one billion, fifty-nine million, seventy-four thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 470 691 705 1087 1382 1410 2073 2174 3261 3455 4146 5435 6522 6910 10365 10870 16305 20730 32477 32610 51089 64954 97431 102178 153267 162385 194862 255445 306534 324770 487155 510890 751117 766335 974310 1502234 1532670 2253351 3755585 4506702 7511170 11266755 22533510 35302499 70604998 105907497 176512495 211814994 353024990 529537485 1059074970