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2136971232 = 2532116531033
BaseRepresentation
bin111111101011111…
…1001011111100000
312111221002101102200
41333113321133200
513334031034412
6552014413200
7103645645554
oct17727713740
95457071380
102136971232
119a72a0130
124b7801200
13280963c26
14163b51864
15c791b9dc
hex7f5f97e0

2136971232 has 144 divisors (see below), whose sum is σ = 6646047408. Its totient is φ = 645949440.

The previous prime is 2136971219. The next prime is 2136971293. The reversal of 2136971232 is 2321796312.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2068188 + ... + 2069220.

It is an arithmetic number, because the mean of its divisors is an integer number (46153107).

Almost surely, 22136971232 is an apocalyptic number.

2136971232 is a gapful number since it is divisible by the number (22) 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 2136971232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3323023704).

2136971232 is an abundant number, since it is smaller than the sum of its proper divisors (4509076176).

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

2136971232 is a wasteful number, since it uses less digits than its factorization.

2136971232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1702 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 2136971232 is about 46227.3861688069. The cubic root of 2136971232 is about 1288.0505040444.

The spelling of 2136971232 in words is "two billion, one hundred thirty-six million, nine hundred seventy-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 653 792 1033 1056 1306 1584 1959 2066 2612 3099 3168 3918 4132 5224 5877 6198 7183 7836 8264 9297 10448 11363 11754 12396 14366 15672 16528 18594 20896 21549 22726 23508 24792 28732 31344 33056 34089 37188 43098 45452 47016 49584 57464 62688 64647 68178 74376 86196 90904 94032 99168 102267 114928 129294 136356 148752 172392 181808 188064 204534 229856 258588 272712 297504 344784 363616 409068 517176 545424 674549 689568 818136 1034352 1090848 1349098 1636272 2023647 2068704 2698196 3272544 4047294 5396392 6070941 7420039 8094588 10792784 12141882 14840078 16189176 21585568 22260117 24283764 29680156 32378352 44520234 48567528 59360312 64756704 66780351 89040468 97135056 118720624 133560702 178080936 194270112 237441248 267121404 356161872 534242808 712323744 1068485616 2136971232