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140383920 = 24353715809
BaseRepresentation
bin10000101111000…
…01011010110000
3100210011020112110
420113201122300
5241414241140
621532525320
73323146365
oct1027413260
9323136473
10140383920
1172274576
123b020840
1323113011
141490446c
15c4d0380
hex85e16b0

140383920 has 80 divisors (see below), whose sum is σ = 446980320. Its totient is φ = 36421632.

The previous prime is 140383897. The next prime is 140383931. The reversal of 140383920 is 29383041.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 976 + ... + 16784.

It is an arithmetic number, because the mean of its divisors is an integer number (5587254).

Almost surely, 2140383920 is an apocalyptic number.

140383920 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 140383920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223490160).

140383920 is an abundant number, since it is smaller than the sum of its proper divisors (306596400).

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

140383920 is a wasteful number, since it uses less digits than its factorization.

140383920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15862 (or 15856 counting only the distinct ones).

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

The square root of 140383920 is about 11848.3720400737. The cubic root of 140383920 is about 519.7236203889.

The spelling of 140383920 in words is "one hundred forty million, three hundred eighty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 15809 31618 47427 63236 79045 94854 126472 158090 189708 237135 252944 316180 379416 474270 584933 632360 758832 948540 1169866 1264720 1754799 1897080 2339732 2924665 3509598 3794160 4679464 5849330 7019196 8773995 9358928 11698660 14038392 17547990 23397320 28076784 35095980 46794640 70191960 140383920