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83137700 = 22526411297
BaseRepresentation
bin1001111010010…
…01010010100100
312210102211111002
410331021102210
5132240401300
612125532432
72026441652
oct475112244
9183384432
1083137700
1142a24648
1223a14118
13142bb609
14b081dd2
1574735d5
hex4f494a4

83137700 has 36 divisors (see below), whose sum is σ = 180829572. Its totient is φ = 33177600.

The previous prime is 83137657. The next prime is 83137721. The reversal of 83137700 is 773138.

It can be written as a sum of positive squares in 6 ways, for example, as 16192576 + 66945124 = 4024^2 + 8182^2 .

It is a super-2 number, since 2×831377002 = 13823754322580000, which contains 22 as substring.

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, 63452 + ... + 64748.

Almost surely, 283137700 is an apocalyptic number.

It is an amenable number.

83137700 is an abundant number, since it is smaller than the sum of its proper divisors (97691872).

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

83137700 is a wasteful number, since it uses less digits than its factorization.

83137700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 83137700 is about 9117.9877165962. The cubic root of 83137700 is about 436.4481616301.

The spelling of 83137700 in words is "eighty-three million, one hundred thirty-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 641 1282 1297 2564 2594 3205 5188 6410 6485 12820 12970 16025 25940 32050 32425 64100 64850 129700 831377 1662754 3325508 4156885 8313770 16627540 20784425 41568850 83137700