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140803920 = 243557243
BaseRepresentation
bin10000110010001…
…11111101010000
3100210221120200000
420121013331100
5242021211140
621545530000
73326546025
oct1031077520
9323846600
10140803920
1172531084
123b1a3900
132322c23a
14149b354c
15c564a30
hex8647f50

140803920 has 120 divisors (see below), whose sum is σ = 490447776. Its totient is φ = 37542528.

The previous prime is 140803853. The next prime is 140803931. The reversal of 140803920 is 29308041.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15819 + ... + 23061.

Almost surely, 2140803920 is an apocalyptic number.

140803920 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 140803920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245223888).

140803920 is an abundant number, since it is smaller than the sum of its proper divisors (349643856).

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

140803920 is an equidigital number, since it uses as much as digits as its factorization.

140803920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7271 (or 7253 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 140803920 is about 11866.0827571697. The cubic root of 140803920 is about 520.2414066488.

The spelling of 140803920 in words is "one hundred forty million, eight hundred three thousand, nine hundred twenty".

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 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 7243 9720 14486 19440 21729 28972 36215 43458 57944 65187 72430 86916 108645 115888 130374 144860 173832 195561 217290 260748 289720 325935 347664 391122 434580 521496 579440 586683 651870 782244 869160 977805 1042992 1173366 1303740 1564488 1738320 1760049 1955610 2346732 2607480 2933415 3128976 3520098 3911220 4693464 5214960 5866830 7040196 7822440 8800245 9386928 11733660 14080392 15644880 17600490 23467320 28160784 35200980 46934640 70401960 140803920