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36993996 = 2234138783
BaseRepresentation
bin1000110100011…
…1101111001100
32120121111020000
42031013233030
533432301441
63400524300
7626305134
oct215075714
976544200
1036993996
1119978156
1210480690
137883550
144cadac4
1533ab2b6
hex2347bcc

36993996 has 60 divisors (see below), whose sum is σ = 104160672. Its totient is φ = 11381472.

The previous prime is 36993961. The next prime is 36994019. The reversal of 36993996 is 69939963.

36993996 is nontrivially palindromic in base 14.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 16.

It is a nialpdrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 180 + ... + 8603.

Almost surely, 236993996 is an apocalyptic number.

36993996 is a gapful number since it is divisible by the number (36) 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 36993996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52080336).

36993996 is an abundant number, since it is smaller than the sum of its proper divisors (67166676).

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

36993996 is a wasteful number, since it uses less digits than its factorization.

36993996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8812 (or 8801 counting only the distinct ones).

The product of its digits is 2125764, while the sum is 54.

The square root of 36993996 is about 6082.2689845156. The cubic root of 36993996 is about 333.2041601716.

The spelling of 36993996 in words is "thirty-six million, nine hundred ninety-three thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 4212 8783 17566 26349 35132 52698 79047 105396 114179 158094 228358 237141 316188 342537 456716 474282 685074 711423 948564 1027611 1370148 1422846 2055222 2845692 3082833 4110444 6165666 9248499 12331332 18496998 36993996