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73055664 = 243211172713
BaseRepresentation
bin1000101101010…
…11110110110000
312002110121112100
410112223312300
5122200240124
611125500400
71544651163
oct426536660
9162417470
1073055664
1138268890
1220571700
131219b606
1499b9ada
1566311c9
hex45abdb0

73055664 has 120 divisors (see below), whose sum is σ = 236248272. Its totient is φ = 20828160.

The previous prime is 73055657. The next prime is 73055683. The reversal of 73055664 is 46655037.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 25572 + ... + 28284.

Almost surely, 273055664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73055664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118124136).

73055664 is an abundant number, since it is smaller than the sum of its proper divisors (163192608).

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

73055664 is a wasteful number, since it uses less digits than its factorization.

73055664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 73055664 is about 8547.2606137873. The cubic root of 73055664 is about 418.0401203831.

The spelling of 73055664 in words is "seventy-three million, fifty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 33 34 36 44 48 51 66 68 72 88 99 102 132 136 144 153 176 187 198 204 264 272 306 374 396 408 528 561 612 748 792 816 1122 1224 1496 1584 1683 2244 2448 2713 2992 3366 4488 5426 6732 8139 8976 10852 13464 16278 21704 24417 26928 29843 32556 43408 46121 48834 59686 65112 89529 92242 97668 119372 130224 138363 179058 184484 195336 238744 268587 276726 358116 368968 390672 415089 477488 507331 537174 553452 716232 737936 830178 1014662 1074348 1106904 1432464 1521993 1660356 2029324 2148696 2213808 3043986 3320712 4058648 4297392 4565979 6087972 6641424 8117296 9131958 12175944 18263916 24351888 36527832 73055664