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73215996 = 22372413037
BaseRepresentation
bin1000101110100…
…10111111111100
312002202202110120
410113102333330
5122220402441
611133134540
71546216500
oct427227774
9162682416
1073215996
1138368297
122062a450
1312226599
149a1c300
156663966
hex45d2ffc

73215996 has 72 divisors (see below), whose sum is σ = 203643216. Its totient is φ = 20401920.

The previous prime is 73215983. The next prime is 73215997. The reversal of 73215996 is 69951237.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73215997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22590 + ... + 25626.

It is an arithmetic number, because the mean of its divisors is an integer number (2828378).

Almost surely, 273215996 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 73215996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101821608).

73215996 is an abundant number, since it is smaller than the sum of its proper divisors (130427220).

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

73215996 is a wasteful number, since it uses less digits than its factorization.

73215996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3099 (or 3090 counting only the distinct ones).

The product of its digits is 102060, while the sum is 42.

The square root of 73215996 is about 8556.6346188206. The cubic root of 73215996 is about 418.3457149220.

The spelling of 73215996 in words is "seventy-three million, two hundred fifteen thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 49 82 84 98 123 147 164 196 246 287 294 492 574 588 861 1148 1722 2009 3037 3444 4018 6027 6074 8036 9111 12054 12148 18222 21259 24108 36444 42518 63777 85036 124517 127554 148813 249034 255108 297626 373551 446439 498068 595252 747102 871619 892878 1494204 1743238 1785756 2614857 3486476 5229714 6101333 10459428 12202666 18303999 24405332 36607998 73215996