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192980880 = 243751103
BaseRepresentation
bin10111000000010…
…10011110010000
3111110010110000000
423200022132100
5343400342010
631052130000
74532211321
oct1340123620
9443113000
10192980880
1199a29434
1254766900
1330c9a491
141b8b6448
1511e1e7c0
hexb80a790

192980880 has 160 divisors (see below), whose sum is σ = 673528320. Its totient is φ = 51414912.

The previous prime is 192980831. The next prime is 192980899. The reversal of 192980880 is 88089291.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174409 + ... + 175511.

It is an arithmetic number, because the mean of its divisors is an integer number (4209552).

Almost surely, 2192980880 is an apocalyptic number.

192980880 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 192980880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336764160).

192980880 is an abundant number, since it is smaller than the sum of its proper divisors (480547440).

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

192980880 is an equidigital number, since it uses as much as digits as its factorization.

192980880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 192980880 is about 13891.7558285481. The cubic root of 192980880 is about 577.8805722210.

The spelling of 192980880 in words is "one hundred ninety-two million, nine hundred eighty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 729 810 972 1080 1103 1215 1296 1458 1620 1944 2160 2187 2206 2430 2916 3240 3309 3645 3888 4374 4412 4860 5515 5832 6480 6618 7290 8748 8824 9720 9927 10935 11030 11664 13236 14580 16545 17496 17648 19440 19854 21870 22060 26472 29160 29781 33090 34992 39708 43740 44120 49635 52944 58320 59562 66180 79416 87480 88240 89343 99270 119124 132360 148905 158832 174960 178686 198540 238248 264720 268029 297810 357372 397080 446715 476496 536058 595620 714744 794160 804087 893430 1072116 1191240 1340145 1429488 1608174 1786860 2144232 2382480 2412261 2680290 3216348 3573720 4020435 4288464 4824522 5360580 6432696 7147440 8040870 9649044 10721160 12061305 12865392 16081740 19298088 21442320 24122610 32163480 38596176 48245220 64326960 96490440 192980880