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132922240 = 2751179239
BaseRepresentation
bin1111110110000…
…11101110000000
3100021010011000221
413323003232000
5233012002430
621104552424
73202551253
oct773035600
9307104027
10132922240
11690384a0
1238622714
13216cc919
141392109a
15ba0957a
hex7ec3b80

132922240 has 128 divisors (see below), whose sum is σ = 352512000. Its totient is φ = 47523840.

The previous prime is 132922217. The next prime is 132922253. The reversal of 132922240 is 42229231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 556041 + ... + 556279.

It is an arithmetic number, because the mean of its divisors is an integer number (2754000).

Almost surely, 2132922240 is an apocalyptic number.

132922240 is a gapful number since it is divisible by the number (10) 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 132922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176256000).

132922240 is an abundant number, since it is smaller than the sum of its proper divisors (219589760).

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

132922240 is a wasteful number, since it uses less digits than its factorization.

132922240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 132922240 is about 11529.1907781943. The cubic root of 132922240 is about 510.3473732357.

The spelling of 132922240 in words is "one hundred thirty-two million, nine hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 79 80 88 110 128 158 160 176 220 239 316 320 352 395 440 478 632 640 704 790 869 880 956 1195 1264 1408 1580 1738 1760 1912 2390 2528 2629 3160 3476 3520 3824 4345 4780 5056 5258 6320 6952 7040 7648 8690 9560 10112 10516 12640 13145 13904 15296 17380 18881 19120 21032 25280 26290 27808 30592 34760 37762 38240 42064 50560 52580 55616 69520 75524 76480 84128 94405 105160 111232 139040 151048 152960 168256 188810 207691 210320 278080 302096 336512 377620 415382 420640 556160 604192 755240 830764 841280 1038455 1208384 1510480 1661528 1682560 2076910 2416768 3020960 3323056 4153820 6041920 6646112 8307640 12083840 13292224 16615280 26584448 33230560 66461120 132922240