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140819472 = 243612073
BaseRepresentation
bin10000110010010…
…11110000010000
3100210222101000000
420121023300100
5242022210342
621550130000
73326642253
oct1031136020
9323871000
10140819472
1172541832
123b1b0900
1323236341
14149b909a
15c56944c
hex864bc10

140819472 has 70 divisors (see below), whose sum is σ = 409103342. Its totient is φ = 46935936.

The previous prime is 140819467. The next prime is 140819491. The reversal of 140819472 is 274918041.

It can be written as a sum of positive squares in only one way, i.e., 80353296 + 60466176 = 8964^2 + 7776^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5628 + ... + 17700.

Almost surely, 2140819472 is an apocalyptic number.

140819472 is a gapful number since it is divisible by the number (12) 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 140819472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204551671).

140819472 is an abundant number, since it is smaller than the sum of its proper divisors (268283870).

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

140819472 is an equidigital number, since it uses as much as digits as its factorization.

140819472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12099 (or 12078 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 140819472 is about 11866.7380522197. The cubic root of 140819472 is about 520.2605597531.

The spelling of 140819472 in words is "one hundred forty million, eight hundred nineteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 11664 12073 24146 36219 48292 72438 96584 108657 144876 193168 217314 289752 325971 434628 579504 651942 869256 977913 1303884 1738512 1955826 2607768 2933739 3911652 5215536 5867478 7823304 8801217 11734956 15646608 17602434 23469912 35204868 46939824 70409736 140819472