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132020880 = 24355397107
BaseRepresentation
bin1111101111001…
…11101010010000
3100012102100121020
413313213222100
5232244132010
621033355440
73162105345
oct767475220
9305370536
10132020880
1168582272
1238268b80
1321475584
14137687cc
15b8cc470
hex7de7a90

132020880 has 160 divisors (see below), whose sum is σ = 425222784. Its totient is φ = 33865728.

The previous prime is 132020849. The next prime is 132020891. The reversal of 132020880 is 88020231.

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 132020880.

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, 1233787 + ... + 1233893.

Almost surely, 2132020880 is an apocalyptic number.

132020880 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 132020880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212611392).

132020880 is an abundant number, since it is smaller than the sum of its proper divisors (293201904).

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

132020880 is a wasteful number, since it uses less digits than its factorization.

132020880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 132020880 is about 11490.0339425086. The cubic root of 132020880 is about 509.1911823974.

It can be divided in two parts, 1320 and 20880, that multiplied together give a triangular number (27561600 = T7424).

The spelling of 132020880 in words is "one hundred thirty-two million, twenty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 97 106 107 120 159 194 212 214 240 265 291 318 321 388 424 428 485 530 535 582 636 642 776 795 848 856 970 1060 1070 1164 1272 1284 1455 1552 1590 1605 1712 1940 2120 2140 2328 2544 2568 2910 3180 3210 3880 4240 4280 4656 5136 5141 5671 5820 6360 6420 7760 8560 10282 10379 11342 11640 12720 12840 15423 17013 20564 20758 22684 23280 25680 25705 28355 30846 31137 34026 41128 41516 45368 51410 51895 56710 61692 62274 68052 77115 82256 83032 85065 90736 102820 103790 113420 123384 124548 136104 154230 155685 166064 170130 205640 207580 226840 246768 249096 272208 308460 311370 340260 411280 415160 453680 498192 550087 616920 622740 680520 830320 1100174 1233840 1245480 1361040 1650261 2200348 2490960 2750435 3300522 4400696 5500870 6601044 8251305 8801392 11001740 13202088 16502610 22003480 26404176 33005220 44006960 66010440 132020880