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132739320 = 23357198317
BaseRepresentation
bin1111110100101…
…11000011111000
3100020202212010010
413322113003320
5232440124240
621101021520
73201160050
oct772270370
9306685103
10132739320
1168a2301a
12385548a0
132166759c
14138b4560
15b9c0280
hex7e970f8

132739320 has 128 divisors (see below), whose sum is σ = 479116800. Its totient is φ = 28740096.

The previous prime is 132739319. The next prime is 132739333. The reversal of 132739320 is 23937231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 11802 + ... + 20118.

It is an arithmetic number, because the mean of its divisors is an integer number (3743100).

Almost surely, 2132739320 is an apocalyptic number.

132739320 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 132739320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239558400).

132739320 is an abundant number, since it is smaller than the sum of its proper divisors (346377480).

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

132739320 is a wasteful number, since it uses less digits than its factorization.

132739320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8357 (or 8353 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 132739320 is about 11521.2551399576. The cubic root of 132739320 is about 510.1131621247.

The spelling of 132739320 in words is "one hundred thirty-two million, seven hundred thirty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1596 1995 2280 2660 3192 3990 5320 7980 8317 15960 16634 24951 33268 41585 49902 58219 66536 83170 99804 116438 124755 158023 166340 174657 199608 232876 249510 291095 316046 332680 349314 465752 474069 499020 582190 632092 698628 790115 873285 948138 998040 1106161 1164380 1264184 1397256 1580230 1746570 1896276 2212322 2328760 2370345 3160460 3318483 3493140 3792552 4424644 4740690 5530805 6320920 6636966 6986280 8849288 9481380 11061610 13273932 16592415 18962760 22123220 26547864 33184830 44246440 66369660 132739320