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71971320 = 23354611301
BaseRepresentation
bin1000100101000…
…11000111111000
312000102112002110
410102203013320
5121411040240
611050332320
71532513631
oct422430770
9160375073
1071971320
1137698133
122012a0a0
1311babba5
1497b6888
1564b9c80
hex44a31f8

71971320 has 64 divisors (see below), whose sum is σ = 216548640. Its totient is φ = 19136000.

The previous prime is 71971307. The next prime is 71971331. The reversal of 71971320 is 2317917.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54670 + ... + 55970.

Almost surely, 271971320 is an apocalyptic number.

It is an amenable number.

71971320 is an abundant number, since it is smaller than the sum of its proper divisors (144577320).

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

71971320 is a wasteful number, since it uses less digits than its factorization.

71971320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 71971320 is about 8483.5912207036. The cubic root of 71971320 is about 415.9615194929.

The spelling of 71971320 in words is "seventy-one million, nine hundred seventy-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 461 922 1301 1383 1844 2305 2602 2766 3688 3903 4610 5204 5532 6505 6915 7806 9220 10408 11064 13010 13830 15612 18440 19515 26020 27660 31224 39030 52040 55320 78060 156120 599761 1199522 1799283 2399044 2998805 3598566 4798088 5997610 7197132 8996415 11995220 14394264 17992830 23990440 35985660 71971320