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123223680 = 273452377
BaseRepresentation
bin1110101100000…
…11111010000000
322120212102010000
413112003322000
5223021124210
620121040000
73024245466
oct726037200
9276772100
10123223680
1163613858
1235326000
131c6b5328
1412518836
15ac40ac0
hex7583e80

123223680 has 160 divisors (see below), whose sum is σ = 440239140. Its totient is φ = 32845824.

The previous prime is 123223679. The next prime is 123223693. The reversal of 123223680 is 86322321.

It can be written as a sum of positive squares in 2 ways, for example, as 121352256 + 1871424 = 11016^2 + 1368^2 .

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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50652 + ... + 53028.

Almost surely, 2123223680 is an apocalyptic number.

123223680 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 123223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220119570).

123223680 is an abundant number, since it is smaller than the sum of its proper divisors (317015460).

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

123223680 is an equidigital number, since it uses as much as digits as its factorization.

123223680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 123223680 is about 11100.6161991126. The cubic root of 123223680 is about 497.6202650253.

The spelling of 123223680 in words is "one hundred twenty-three million, two hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1620 1728 1920 2160 2377 2592 2880 3240 3456 4320 4754 5184 5760 6480 7131 8640 9508 10368 11885 12960 14262 17280 19016 21393 23770 25920 28524 35655 38032 42786 47540 51840 57048 64179 71310 76064 85572 95080 106965 114096 128358 142620 152128 171144 190160 192537 213930 228192 256716 285240 304256 320895 342288 380320 385074 427860 456384 513432 570480 641790 684576 760640 770148 855720 912768 962685 1026864 1140960 1283580 1369152 1521280 1540296 1711440 1925370 2053728 2281920 2567160 2738304 3080592 3422880 3850740 4107456 4563840 5134320 6161184 6845760 7701480 8214912 10268640 12322368 13691520 15402960 20537280 24644736 30805920 41074560 61611840 123223680