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80232960 = 293531337
BaseRepresentation
bin1001100100001…
…00001000000000
312120222020221010
410302010020000
5131014423320
611543400520
71662653223
oct462041000
9176866833
1080232960
1141320235
1222a53140
1313812432
14a9275ba
15709cae0
hex4c84200

80232960 has 160 divisors (see below), whose sum is σ = 265554432. Its totient is φ = 20643840.

The previous prime is 80232881. The next prime is 80232967. The reversal of 80232960 is 6923208.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is not an unprimeable number, because it can be changed into a prime (80232967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237912 + ... + 238248.

Almost surely, 280232960 is an apocalyptic number.

80232960 is a gapful number since it is divisible by the number (80) 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 80232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132777216).

80232960 is an abundant number, since it is smaller than the sum of its proper divisors (185321472).

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

80232960 is a wasteful number, since it uses less digits than its factorization.

80232960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 80232960 is about 8957.2853030369. The cubic root of 80232960 is about 431.3047802707.

The spelling of 80232960 in words is "eighty million, two hundred thirty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 256 310 320 337 372 384 465 480 496 512 620 640 674 744 768 930 960 992 1011 1240 1280 1348 1488 1536 1685 1860 1920 1984 2022 2480 2560 2696 2976 3370 3720 3840 3968 4044 4960 5055 5392 5952 6740 7440 7680 7936 8088 9920 10110 10447 10784 11904 13480 14880 15872 16176 19840 20220 20894 21568 23808 26960 29760 31341 32352 39680 40440 41788 43136 47616 52235 53920 59520 62682 64704 79360 80880 83576 86272 104470 107840 119040 125364 129408 156705 161760 167152 172544 208940 215680 238080 250728 258816 313410 323520 334304 417880 431360 501456 517632 626820 647040 668608 835760 862720 1002912 1253640 1294080 1337216 1671520 2005824 2507280 2588160 2674432 3343040 4011648 5014560 5348864 6686080 8023296 10029120 13372160 16046592 20058240 26744320 40116480 80232960