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1435020664 = 237211418117
BaseRepresentation
bin101010110001000…
…1010110101111000
310201000020121021111
41111202022311320
510414331130124
6354221250104
750363321500
oct12542126570
93630217244
101435020664
116770392a0
12340703934
1319b3c0a6c
14d882aa00
1585eb1494
hex5588ad78

1435020664 has 96 divisors (see below), whose sum is σ = 3498208560. Its totient is φ = 545395200.

The previous prime is 1435020647. The next prime is 1435020683. The reversal of 1435020664 is 4660205341.

It is a super-2 number, since 2×14350206642 = 4118568612214001792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172734 + ... + 180850.

Almost surely, 21435020664 is an apocalyptic number.

1435020664 is a gapful number since it is divisible by the number (14) 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 1435020664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749104280).

1435020664 is an abundant number, since it is smaller than the sum of its proper divisors (2063187896).

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

1435020664 is a wasteful number, since it uses less digits than its factorization.

1435020664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8189 (or 8178 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 1435020664 is about 37881.6665948055. Note that the first 3 decimals coincide. The cubic root of 1435020664 is about 1127.9401385834.

It can be divided in two parts, 14350 and 20664, that multiplied together give a square (296528400 = 172202).

The spelling of 1435020664 in words is "one billion, four hundred thirty-five million, twenty thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 41 44 49 56 77 82 88 98 154 164 196 287 308 328 392 451 539 574 616 902 1078 1148 1804 2009 2156 2296 3157 3608 4018 4312 6314 8036 8117 12628 16072 16234 22099 25256 32468 44198 56819 64936 88396 89287 113638 176792 178574 227276 332797 357148 397733 454552 625009 665594 714296 795466 1250018 1331188 1590932 2329579 2500036 2662376 3181864 3660767 4375063 4659158 5000072 7321534 8750126 9318316 14643068 16307053 17500252 18636632 25625369 29286136 32614106 35000504 51250738 65228212 102501476 130456424 179377583 205002952 358755166 717510332 1435020664