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132389640 = 23345291409
BaseRepresentation
bin1111110010000…
…01101100001000
3100020010002110000
413321001230020
5232342432030
621045323000
73165202425
oct771015410
9306102400
10132389640
1168804329
1238406460
1321574386
1413822d4c
15b951860
hex7e41b08

132389640 has 160 divisors (see below), whose sum is σ = 460647000. Its totient is φ = 34062336.

The previous prime is 132389617. The next prime is 132389641. The reversal of 132389640 is 46983231.

132389640 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 8 + 9 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 65901924 + 66487716 = 8118^2 + 8154^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 132389595 and 132389604.

It is not an unprimeable number, because it can be changed into a prime (132389641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 93256 + ... + 94664.

Almost surely, 2132389640 is an apocalyptic number.

132389640 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 132389640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230323500).

132389640 is an abundant number, since it is smaller than the sum of its proper divisors (328257360).

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

132389640 is a wasteful number, since it uses less digits than its factorization.

132389640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 132389640 is about 11506.0697025526. The cubic root of 132389640 is about 509.6648316812.

The spelling of 132389640 in words is "one hundred thirty-two million, three hundred eighty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 81 87 90 108 116 120 135 145 162 174 180 216 232 261 270 290 324 348 360 405 435 522 540 580 648 696 783 810 870 1044 1080 1160 1305 1409 1566 1620 1740 2088 2349 2610 2818 3132 3240 3480 3915 4227 4698 5220 5636 6264 7045 7830 8454 9396 10440 11272 11745 12681 14090 15660 16908 18792 21135 23490 25362 28180 31320 33816 38043 40861 42270 46980 50724 56360 63405 76086 81722 84540 93960 101448 114129 122583 126810 152172 163444 169080 190215 204305 228258 245166 253620 304344 326888 367749 380430 408610 456516 490332 507240 570645 612915 735498 760860 817220 913032 980664 1103247 1141290 1225830 1470996 1521720 1634440 1838745 2206494 2282580 2451660 2941992 3309741 3677490 4412988 4565160 4903320 5516235 6619482 7354980 8825976 11032470 13238964 14709960 16548705 22064940 26477928 33097410 44129880 66194820 132389640