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140402120 = 235231011511
BaseRepresentation
bin10000101111001…
…01110111001000
3100210012011111112
420113211313020
5241420331440
621533145452
73323253425
oct1027456710
9323164445
10140402120
1172287211
123b02b288
132311b3a1
141490ad4c
15c4d5965
hex85e5dc8

140402120 has 64 divisors (see below), whose sum is σ = 333123840. Its totient is φ = 53152000.

The previous prime is 140402107. The next prime is 140402147. The reversal of 140402120 is 21204041.

140402120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 140402095 and 140402104.

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, 92165 + ... + 93675.

It is an arithmetic number, because the mean of its divisors is an integer number (5205060).

Almost surely, 2140402120 is an apocalyptic number.

140402120 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 140402120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166561920).

140402120 is an abundant number, since it is smaller than the sum of its proper divisors (192721720).

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

140402120 is a wasteful number, since it uses less digits than its factorization.

140402120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 140402120 is about 11849.1400531853. The cubic root of 140402120 is about 519.7460791841.

Adding to 140402120 its reverse (21204041), we get a palindrome (161606161).

It can be divided in two parts, 1404021 and 20, that added together give a palindrome (1404041).

The spelling of 140402120 in words is "one hundred forty million, four hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 101 115 184 202 230 404 460 505 808 920 1010 1511 2020 2323 3022 4040 4646 6044 7555 9292 11615 12088 15110 18584 23230 30220 34753 46460 60440 69506 92920 139012 152611 173765 278024 305222 347530 610444 695060 763055 1220888 1390120 1526110 3052220 3510053 6104440 7020106 14040212 17550265 28080424 35100530 70201060 140402120