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71922680 = 235892227
BaseRepresentation
bin1000100100101…
…11001111111000
312000100001100222
410102113033320
5121403011210
611045315212
71532222054
oct422271770
9160301328
1071922680
1137664635
1220105b08
1311b929cb
1497a2c64
1564aa655
hex44973f8

71922680 has 48 divisors (see below), whose sum is σ = 164385720. Its totient is φ = 28320512.

The previous prime is 71922667. The next prime is 71922701. The reversal of 71922680 is 8622917.

It is a happy number.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 71922680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 316727 + ... + 316953.

Almost surely, 271922680 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 71922680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82192860).

71922680 is an abundant number, since it is smaller than the sum of its proper divisors (92463040).

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

71922680 is a wasteful number, since it uses less digits than its factorization.

71922680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 71922680 is about 8480.7240256950. The cubic root of 71922680 is about 415.8677926775.

The spelling of 71922680 in words is "seventy-one million, nine hundred twenty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 89 178 227 356 445 454 712 890 908 1135 1780 1816 2270 3560 4540 7921 9080 15842 20203 31684 39605 40406 63368 79210 80812 101015 158420 161624 202030 316840 404060 808120 1798067 3596134 7192268 8990335 14384536 17980670 35961340 71922680