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71936970 = 2357509673
BaseRepresentation
bin1000100100110…
…10101111001010
312000100202222020
410102122233022
5121403440340
611045505310
71532311530
oct422325712
9160322866
1071936970
1137674346
1220112236
1311b99371
1497a8150
1564ae9d0
hex449abca

71936970 has 64 divisors (see below), whose sum is σ = 197994240. Its totient is φ = 16386048.

The previous prime is 71936959. The next prime is 71936993. The reversal of 71936970 is 7963917.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106554 + ... + 107226.

It is an arithmetic number, because the mean of its divisors is an integer number (3093660).

Almost surely, 271936970 is an apocalyptic number.

71936970 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 71936970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98997120).

71936970 is an abundant number, since it is smaller than the sum of its proper divisors (126057270).

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

71936970 is a wasteful number, since it uses less digits than its factorization.

71936970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199.

The product of its (nonzero) digits is 71442, while the sum is 42.

The square root of 71936970 is about 8481.5664826729. The cubic root of 71936970 is about 415.8953331660.

The spelling of 71936970 in words is "seventy-one million, nine hundred thirty-six thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 509 673 1018 1346 1527 2019 2545 3054 3365 3563 4038 4711 5090 6730 7126 7635 9422 10095 10689 14133 15270 17815 20190 21378 23555 28266 35630 47110 53445 70665 106890 141330 342557 685114 1027671 1712785 2055342 2397899 3425570 4795798 5138355 7193697 10276710 11989495 14387394 23978990 35968485 71936970