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36975640 = 23513211337
BaseRepresentation
bin1000110100001…
…1010000011000
32120120120001011
42031003100120
533431210030
63400303304
7626200462
oct215032030
976516034
1036975640
1119965389
1210471b34
1378780a0
144ca7132
1533a5b2a
hex2343418

36975640 has 64 divisors (see below), whose sum is σ = 90286560. Its totient is φ = 13547520.

The previous prime is 36975623. The next prime is 36975649. The reversal of 36975640 is 4657963.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 36975593 and 36975602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36975649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109552 + ... + 109888.

Almost surely, 236975640 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 36975640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45143280).

36975640 is an abundant number, since it is smaller than the sum of its proper divisors (53310920).

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

36975640 is a wasteful number, since it uses less digits than its factorization.

36975640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The square root of 36975640 is about 6080.7598209434. The cubic root of 36975640 is about 333.1490403493.

The spelling of 36975640 in words is "thirty-six million, nine hundred seventy-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 211 260 337 422 520 674 844 1055 1348 1685 1688 2110 2696 2743 3370 4220 4381 5486 6740 8440 8762 10972 13480 13715 17524 21905 21944 27430 35048 43810 54860 71107 87620 109720 142214 175240 284428 355535 568856 711070 924391 1422140 1848782 2844280 3697564 4621955 7395128 9243910 18487820 36975640