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36996570 = 232513103307
BaseRepresentation
bin1000110100100…
…0010111011010
32120121121202100
42031020113122
533432342240
63400544230
7626315502
oct215102732
976547670
1036996570
111997a086
1210482076
137884780
144cb0a02
1533abe30
hex23485da

36996570 has 96 divisors (see below), whose sum is σ = 104936832. Its totient is φ = 8989056.

The previous prime is 36996563. The next prime is 36996571. The reversal of 36996570 is 7569963.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (36996571) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120357 + ... + 120663.

It is an arithmetic number, because the mean of its divisors is an integer number (1093092).

Almost surely, 236996570 is an apocalyptic number.

36996570 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36996570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52468416).

36996570 is an abundant number, since it is smaller than the sum of its proper divisors (67940262).

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

36996570 is a wasteful number, since it uses less digits than its factorization.

36996570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 36996570 is about 6082.4805795004. The cubic root of 36996570 is about 333.2118879807.

The spelling of 36996570 in words is "thirty-six million, nine hundred ninety-six thousand, five hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 103 117 130 195 206 234 307 309 390 515 585 614 618 921 927 1030 1170 1339 1535 1545 1842 1854 2678 2763 3070 3090 3991 4017 4605 4635 5526 6695 7982 8034 9210 9270 11973 12051 13390 13815 19955 20085 23946 24102 27630 31621 35919 39910 40170 59865 60255 63242 71838 94863 119730 120510 158105 179595 189726 284589 316210 359190 411073 474315 569178 822146 948630 1233219 1422945 2055365 2466438 2845890 3699657 4110730 6166095 7399314 12332190 18498285 36996570