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64413630 = 2345281283
BaseRepresentation
bin1111010110110…
…1111110111110
311111012112220000
43311231332332
5112442214010
610220335130
71411335561
oct365557676
9144175800
1064413630
11333a5a06
12196a44a6
1310463b98
1487aa4d8
1559c57c0
hex3d6dfbe

64413630 has 80 divisors (see below), whose sum is σ = 174431664. Its totient is φ = 17055360.

The previous prime is 64413581. The next prime is 64413673. The reversal of 64413630 is 3631446.

64413630 is a `hidden beast` number, since 644 + 13 + 6 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 64413594 and 64413603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 227469 + ... + 227751.

Almost surely, 264413630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64413630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87215832).

64413630 is an abundant number, since it is smaller than the sum of its proper divisors (110018034).

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

64413630 is a wasteful number, since it uses less digits than its factorization.

64413630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 64413630 is about 8025.8102394712. The cubic root of 64413630 is about 400.8598793608.

The spelling of 64413630 in words is "sixty-four million, four hundred thirteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 281 283 405 562 566 810 843 849 1405 1415 1686 1698 2529 2547 2810 2830 4215 4245 5058 5094 7587 7641 8430 8490 12645 12735 15174 15282 22761 22923 25290 25470 37935 38205 45522 45846 75870 76410 79523 113805 114615 159046 227610 229230 238569 397615 477138 715707 795230 1192845 1431414 2147121 2385690 3578535 4294242 6441363 7157070 10735605 12882726 21471210 32206815 64413630