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140787120 = 243531127149
BaseRepresentation
bin10000110010000…
…11110110110000
3100210220201121210
420121003312300
5242020141440
621545320120
73326446035
oct1031036660
9323821553
10140787120
117251a4a1
123b196040
13232246b6
14149ab38c
15c55ea80
hex8643db0

140787120 has 160 divisors (see below), whose sum is σ = 457113600. Its totient is φ = 35804160.

The previous prime is 140787113. The next prime is 140787161. The reversal of 140787120 is 21787041.

140787120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 944806 + ... + 944954.

It is an arithmetic number, because the mean of its divisors is an integer number (2856960).

Almost surely, 2140787120 is an apocalyptic number.

140787120 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 140787120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228556800).

140787120 is an abundant number, since it is smaller than the sum of its proper divisors (316326480).

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

140787120 is a wasteful number, since it uses less digits than its factorization.

140787120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 140787120 is about 11865.3748360513. The cubic root of 140787120 is about 520.2207149824.

The spelling of 140787120 in words is "one hundred forty million, seven hundred eighty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 127 149 155 186 240 248 254 298 310 372 381 447 465 496 508 596 620 635 744 745 762 894 930 1016 1192 1240 1270 1488 1490 1524 1788 1860 1905 2032 2235 2384 2480 2540 2980 3048 3576 3720 3810 3937 4470 4619 5080 5960 6096 7152 7440 7620 7874 8940 9238 10160 11811 11920 13857 15240 15748 17880 18476 18923 19685 23095 23622 27714 30480 31496 35760 36952 37846 39370 46190 47244 55428 56769 59055 62992 69285 73904 75692 78740 92380 94488 94615 110856 113538 118110 138570 151384 157480 184760 188976 189230 221712 227076 236220 277140 283845 302768 314960 369520 378460 454152 472440 554280 567690 586613 756920 908304 944880 1108560 1135380 1173226 1513840 1759839 2270760 2346452 2933065 3519678 4541520 4692904 5866130 7039356 8799195 9385808 11732260 14078712 17598390 23464520 28157424 35196780 46929040 70393560 140787120