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132739740 = 223257176197
BaseRepresentation
bin1111110100101…
…11001010011100
3100020202212200200
413322113022130
5232440132430
621101023500
73201161220
oct772271234
9306685620
10132739740
1168a23371
1238554b90
1321667833
14138b4780
15b9c0460
hex7e9729c

132739740 has 144 divisors (see below), whose sum is σ = 487311552. Its totient is φ = 28551168.

The previous prime is 132739697. The next prime is 132739741. The reversal of 132739740 is 47937231.

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 = 132739695 and 132739704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132739741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18322 + ... + 24518.

It is an arithmetic number, because the mean of its divisors is an integer number (3384108).

Almost surely, 2132739740 is an apocalyptic number.

132739740 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 132739740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243655776).

132739740 is an abundant number, since it is smaller than the sum of its proper divisors (354571812).

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

132739740 is a wasteful number, since it uses less digits than its factorization.

132739740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6236 (or 6231 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 132739740 is about 11521.2733671240. The cubic root of 132739740 is about 510.1137001398.

The spelling of 132739740 in words is "one hundred thirty-two million, seven hundred thirty-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 714 765 1020 1071 1190 1260 1428 1530 1785 2142 2380 3060 3570 4284 5355 6197 7140 10710 12394 18591 21420 24788 30985 37182 43379 55773 61970 74364 86758 92955 105349 111546 123940 130137 173516 185910 210698 216895 223092 260274 278865 316047 371820 390411 421396 433790 520548 526745 557730 632094 650685 737443 780822 867580 948141 1053490 1115460 1264188 1301370 1474886 1561644 1580235 1896282 1952055 2106980 2212329 2602740 2949772 3160470 3687215 3792564 3904110 4424658 4740705 6320940 6636987 7374430 7808220 8849316 9481410 11061645 13273974 14748860 18962820 22123290 26547948 33184935 44246580 66369870 132739740