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73018764 = 223271331719
BaseRepresentation
bin1000101101000…
…10110110001100
312002101201220200
410112202312030
5122143100024
611125013500
71544435460
oct426426614
9162351820
1073018764
1138243095
1220554290
1312187890
1499aa4a0
1566252c9
hex45a2d8c

73018764 has 144 divisors (see below), whose sum is σ = 234823680. Its totient is φ = 18610560.

The previous prime is 73018763. The next prime is 73018793. The reversal of 73018764 is 46781037.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73018763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101197 + ... + 101915.

It is an arithmetic number, because the mean of its divisors is an integer number (1630720).

Almost surely, 273018764 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 73018764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117411840).

73018764 is an abundant number, since it is smaller than the sum of its proper divisors (161804916).

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

73018764 is a wasteful number, since it uses less digits than its factorization.

73018764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 73018764 is about 8545.1017548067. The cubic root of 73018764 is about 417.9697253014.

The spelling of 73018764 in words is "seventy-three million, eighteen thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 31 36 39 42 52 62 63 78 84 91 93 117 124 126 156 182 186 217 234 252 273 279 364 372 403 434 468 546 558 651 719 806 819 868 1092 1116 1209 1302 1438 1612 1638 1953 2157 2418 2604 2821 2876 3276 3627 3906 4314 4836 5033 5642 6471 7254 7812 8463 8628 9347 10066 11284 12942 14508 15099 16926 18694 20132 22289 25389 25884 28041 30198 33852 37388 44578 45297 50778 56082 60396 65429 66867 84123 89156 90594 101556 112164 130858 133734 156023 168246 181188 196287 200601 261716 267468 289757 312046 336492 392574 401202 468069 579514 588861 624092 785148 802404 869271 936138 1159028 1177722 1404207 1738542 1872276 2028299 2355444 2607813 2808414 3477084 4056598 5215626 5616828 6084897 8113196 10431252 12169794 18254691 24339588 36509382 73018764