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73891116 = 22341353331
BaseRepresentation
bin1000110011101…
…11110100101100
312011001001120000
410121313310230
5122404003431
611155424300
71555030665
oct431676454
9164031500
1073891116
1138789542
12208b5090
1312401970
149b5636c
1567489e6
hex4677d2c

73891116 has 120 divisors (see below), whose sum is σ = 212590224. Its totient is φ = 22239360.

The previous prime is 73891099. The next prime is 73891121. The reversal of 73891116 is 61119837.

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 39 ways as a sum of consecutive naturals, for example, 223071 + ... + 223401.

Almost surely, 273891116 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 73891116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106295112).

73891116 is an abundant number, since it is smaller than the sum of its proper divisors (138699108).

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

73891116 is a wasteful number, since it uses less digits than its factorization.

73891116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 402 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 73891116 is about 8595.9941833391. The cubic root of 73891116 is about 419.6276291382.

The spelling of 73891116 in words is "seventy-three million, eight hundred ninety-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 53 54 78 81 106 108 117 156 159 162 212 234 318 324 331 351 468 477 636 662 689 702 954 993 1053 1324 1378 1404 1431 1908 1986 2067 2106 2756 2862 2979 3972 4134 4212 4293 4303 5724 5958 6201 8268 8586 8606 8937 11916 12402 12909 17172 17212 17543 17874 18603 24804 25818 26811 35086 35748 37206 38727 51636 52629 53622 55809 70172 74412 77454 105258 107244 111618 116181 154908 157887 210516 223236 228059 232362 315774 348543 456118 464724 473661 631548 684177 697086 912236 947322 1368354 1394172 1420983 1894644 2052531 2736708 2841966 4105062 5683932 6157593 8210124 12315186 18472779 24630372 36945558 73891116