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132926640 = 24357117193
BaseRepresentation
bin1111110110001…
…00110010110000
3100021010101001220
413323010302300
5233012123030
621105025040
73202600140
oct773046260
9307111056
10132926640
1169040830
1238625180
1321701922
1413922920
15ba0aa10
hex7ec4cb0

132926640 has 160 divisors (see below), whose sum is σ = 513824256. Its totient is φ = 27617280.

The previous prime is 132926623. The next prime is 132926657. The reversal of 132926640 is 46629231.

132926640 = T211 + T212 + ... + T930.

It is an interprime number because it is at equal distance from previous prime (132926623) and next prime (132926657).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 14884 + ... + 22076.

Almost surely, 2132926640 is an apocalyptic number.

132926640 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 132926640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256912128).

132926640 is an abundant number, since it is smaller than the sum of its proper divisors (380897616).

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

132926640 is a wasteful number, since it uses less digits than its factorization.

132926640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7227 (or 7221 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 132926640 is about 11529.3815965992. The cubic root of 132926640 is about 510.3530043567.

The spelling of 132926640 in words is "one hundred thirty-two million, nine hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1848 2310 2640 3080 3696 4620 6160 7193 9240 14386 18480 21579 28772 35965 43158 50351 57544 71930 79123 86316 100702 107895 115088 143860 151053 158246 172632 201404 215790 237369 251755 287720 302106 316492 345264 395615 402808 431580 474738 503510 553861 575440 604212 632984 755265 791230 805616 863160 949476 1007020 1107722 1186845 1208424 1265968 1510530 1582460 1661583 1726320 1898952 2014040 2215444 2373690 2416848 2769305 3021060 3164920 3323166 3797904 4028080 4430888 4747380 5538610 6042120 6329840 6646332 8307915 8861776 9494760 11077220 12084240 13292664 16615830 18989520 22154440 26585328 33231660 44308880 66463320 132926640