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36872940 = 223513411153
BaseRepresentation
bin1000110010101…
…0001011101100
32120101100011110
42030222023230
533414413230
63354152020
7625262166
oct214521354
976340143
1036872940
11198a5205
1210422610
137840410
144c7b936
1533854b0
hex232a2ec

36872940 has 96 divisors (see below), whose sum is σ = 113996736. Its totient is φ = 8847360.

The previous prime is 36872929. The next prime is 36872959. The reversal of 36872940 is 4927863.

It is a super-2 number, since 2×368729402 = 2719227408487200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31404 + ... + 32556.

It is an arithmetic number, because the mean of its divisors is an integer number (1187466).

Almost surely, 236872940 is an apocalyptic number.

36872940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36872940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56998368).

36872940 is an abundant number, since it is smaller than the sum of its proper divisors (77123796).

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

36872940 is a wasteful number, since it uses less digits than its factorization.

36872940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 36872940 is about 6072.3092806609. The cubic root of 36872940 is about 332.8403133757.

The spelling of 36872940 in words is "thirty-six million, eight hundred seventy-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 41 52 60 65 78 82 123 130 156 164 195 205 246 260 390 410 492 533 615 780 820 1066 1153 1230 1599 2132 2306 2460 2665 3198 3459 4612 5330 5765 6396 6918 7995 10660 11530 13836 14989 15990 17295 23060 29978 31980 34590 44967 47273 59956 69180 74945 89934 94546 141819 149890 179868 189092 224835 236365 283638 299780 449670 472730 567276 614549 709095 899340 945460 1229098 1418190 1843647 2458196 2836380 3072745 3687294 6145490 7374588 9218235 12290980 18436470 36872940