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73422880 = 25531113131
BaseRepresentation
bin1000110000001…
…01100000100000
312010011021020221
410120011200200
5122244013010
611141412424
71551040606
oct430054040
9163137227
1073422880
1138499773
122070a114
13122997bb
149a73876
1566a4dda
hex4605820

73422880 has 96 divisors (see below), whose sum is σ = 182020608. Its totient is φ = 27955200.

The previous prime is 73422803. The next prime is 73422893. The reversal of 73422880 is 8822437.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 560415 + ... + 560545.

It is an arithmetic number, because the mean of its divisors is an integer number (1896048).

Almost surely, 273422880 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 73422880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91010304).

73422880 is an abundant number, since it is smaller than the sum of its proper divisors (108597728).

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

73422880 is a wasteful number, since it uses less digits than its factorization.

73422880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 73422880 is about 8568.7151895719. The cubic root of 73422880 is about 418.7393795480.

The spelling of 73422880 in words is "seventy-three million, four hundred twenty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 113 124 131 155 160 226 248 262 310 452 496 524 565 620 655 904 992 1048 1130 1240 1310 1808 2096 2260 2480 2620 3503 3616 4061 4192 4520 4960 5240 7006 8122 9040 10480 14012 14803 16244 17515 18080 20305 20960 28024 29606 32488 35030 40610 56048 59212 64976 70060 74015 81220 112096 118424 129952 140120 148030 162440 236848 280240 296060 324880 458893 473696 560480 592120 649760 917786 1184240 1835572 2294465 2368480 3671144 4588930 7342288 9177860 14684576 18355720 36711440 73422880