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73000116 = 2235710729
BaseRepresentation
bin1000101100111…
…10010010110100
312002100210100000
410112132102310
5122142000431
611124351300
71544330220
oct426362264
9162323300
1073000116
1138230082
1220545530
131217c247
1499a3780
15661e9e6
hex459e4b4

73000116 has 72 divisors (see below), whose sum is σ = 218720320. Its totient is φ = 20855232.

The previous prime is 73000099. The next prime is 73000153. The reversal of 73000116 is 61100037.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1440 + ... + 12168.

Almost surely, 273000116 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 73000116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109360160).

73000116 is an abundant number, since it is smaller than the sum of its proper divisors (145720204).

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

73000116 is a wasteful number, since it uses less digits than its factorization.

73000116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10755 (or 10741 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 73000116 is about 8544.0105337014. The cubic root of 73000116 is about 417.9341410094.

The spelling of 73000116 in words is "seventy-three million, one hundred sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 10729 21458 32187 42916 64374 75103 96561 128748 150206 193122 225309 289683 300412 386244 450618 579366 675927 869049 901236 1158732 1351854 1738098 2027781 2607147 2703708 3476196 4055562 5214294 6083343 8111124 10428588 12166686 18250029 24333372 36500058 73000116