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1056465460 = 225151353991
BaseRepresentation
bin111110111110000…
…110001000110100
32201121221000011101
4332332012020310
54130423343320
6252455415444
735115544141
oct7676061064
92647830141
101056465460
114a2390156
12255984584
1313ab4a3bb
14a04493c8
1562b36c0a
hex3ef86234

1056465460 has 48 divisors (see below), whose sum is σ = 2241856512. Its totient is φ = 418176000.

The previous prime is 1056465451. The next prime is 1056465467. The reversal of 1056465460 is 645646501.

It is a super-2 number, since 2×10564654602 = 2232238536346023200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056465467) 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, 1065565 + ... + 1066555.

It is an arithmetic number, because the mean of its divisors is an integer number (46705344).

Almost surely, 21056465460 is an apocalyptic number.

1056465460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1056465460 is an abundant number, since it is smaller than the sum of its proper divisors (1185391052).

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

1056465460 is a wasteful number, since it uses less digits than its factorization.

1056465460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 1056465460 is about 32503.3146002065. The cubic root of 1056465460 is about 1018.4782704092.

The spelling of 1056465460 in words is "one billion, fifty-six million, four hundred sixty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 151 302 353 604 706 755 991 1412 1510 1765 1982 3020 3530 3964 4955 7060 9910 19820 53303 106606 149641 213212 266515 299282 349823 533030 598564 699646 748205 1066060 1399292 1496410 1749115 2992820 3498230 6996460 52823273 105646546 211293092 264116365 528232730 1056465460