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36630132 = 223711291367
BaseRepresentation
bin1000101110111…
…0111001110100
32112221000002120
42023232321310
533334131012
63345035540
7623231250
oct213567164
975830076
1036630132
1119749840
1210325bb0
137786a46
144c17260
15333858c
hex22eee74

36630132 has 96 divisors (see below), whose sum is σ = 110315520. Its totient is φ = 9179520.

The previous prime is 36630131. The next prime is 36630133. The reversal of 36630132 is 23103663.

It is an interprime number because it is at equal distance from previous prime (36630131) and next prime (36630133).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36630131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26113 + ... + 27479.

It is an arithmetic number, because the mean of its divisors is an integer number (1149120).

Almost surely, 236630132 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 36630132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55157760).

36630132 is an abundant number, since it is smaller than the sum of its proper divisors (73685388).

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

36630132 is a wasteful number, since it uses less digits than its factorization.

36630132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 36630132 is about 6052.2832055349. The cubic root of 36630132 is about 332.1081202990.

Adding to 36630132 its reverse (23103663), we get a palindrome (59733795).

The spelling of 36630132 in words is "thirty-six million, six hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 29 33 42 44 58 66 77 84 87 116 132 154 174 203 231 308 319 348 406 462 609 638 812 924 957 1218 1276 1367 1914 2233 2436 2734 3828 4101 4466 5468 6699 8202 8932 9569 13398 15037 16404 19138 26796 28707 30074 38276 39643 45111 57414 60148 79286 90222 105259 114828 118929 158572 180444 210518 237858 277501 315777 421036 436073 475716 555002 631554 832503 872146 1110004 1263108 1308219 1665006 1744292 2616438 3052511 3330012 5232876 6105022 9157533 12210044 18315066 36630132