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132008640 = 2635199691
BaseRepresentation
bin1111101111001…
…00101011000000
3100012101201210220
413313210223000
5232243234030
621033223040
73162024561
oct767445300
9305351726
10132008640
1168574055
1238261a80
132146cb2a
1413764168
15b8c8a10
hex7de4ac0

132008640 has 112 divisors (see below), whose sum is σ = 421843200. Its totient is φ = 34974720.

The previous prime is 132008573. The next prime is 132008659. The reversal of 132008640 is 46800231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 132008640.

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, 190695 + ... + 191385.

Almost surely, 2132008640 is an apocalyptic number.

132008640 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 132008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210921600).

132008640 is an abundant number, since it is smaller than the sum of its proper divisors (289834560).

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

132008640 is a wasteful number, since it uses less digits than its factorization.

132008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 132008640 is about 11489.5012946603. The cubic root of 132008640 is about 509.1754457637.

Adding to 132008640 its reverse (46800231), we get a palindrome (178808871).

The spelling of 132008640 in words is "one hundred thirty-two million, eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 199 240 320 398 480 597 691 796 960 995 1194 1382 1592 1990 2073 2388 2764 2985 3184 3455 3980 4146 4776 5528 5970 6368 6910 7960 8292 9552 10365 11056 11940 12736 13820 15920 16584 19104 20730 22112 23880 27640 31840 33168 38208 41460 44224 47760 55280 63680 66336 82920 95520 110560 132672 137509 165840 191040 221120 275018 331680 412527 550036 663360 687545 825054 1100072 1375090 1650108 2062635 2200144 2750180 3300216 4125270 4400288 5500360 6600432 8250540 8800576 11000720 13200864 16501080 22001440 26401728 33002160 44002880 66004320 132008640