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83720970 = 23252932077
BaseRepresentation
bin1001111110101…
…11101100001010
312211112110120200
410333113230022
5132413032340
612150233030
72034421314
oct477275412
9184473520
1083720970
1143292893
1224055776
1314463c48
14b1947b4
15753b330
hex4fd7b0a

83720970 has 48 divisors (see below), whose sum is σ = 225187560. Its totient is φ = 21555072.

The previous prime is 83720963. The next prime is 83720977. The reversal of 83720970 is 7902738.

It is an interprime number because it is at equal distance from previous prime (83720963) and next prime (83720977).

It can be written as a sum of positive squares in 4 ways, for example, as 83010321 + 710649 = 9111^2 + 843^2 .

It is not an unprimeable number, because it can be changed into a prime (83720977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13429 + ... + 18648.

Almost surely, 283720970 is an apocalyptic number.

83720970 is an abundant number, since it is smaller than the sum of its proper divisors (141466590).

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

83720970 is a wasteful number, since it uses less digits than its factorization.

83720970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32119 (or 32116 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 83720970 is about 9149.9163930606. The cubic root of 83720970 is about 437.4664485835.

The spelling of 83720970 in words is "eighty-three million, seven hundred twenty thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 32077 64154 96231 160385 192462 288693 320770 481155 577386 930233 962310 1443465 1860466 2790699 2886930 4651165 5581398 8372097 9302330 13953495 16744194 27906990 41860485 83720970