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140752400 = 24523111351
BaseRepresentation
bin10000110001110…
…11011000010000
3100210211221222212
420120323120100
5242013034100
621544451252
73326242565
oct1030733020
9323757885
10140752400
11724a63a8
123b179b28
1323211959
141499c86c
15c554635
hex863b610

140752400 has 60 divisors (see below), whose sum is σ = 349096704. Its totient is φ = 54480000.

The previous prime is 140752393. The next prime is 140752427. The reversal of 140752400 is 4257041.

It is a super-2 number, since 2×1407524002 = 39622476211520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6725 + ... + 18075.

Almost surely, 2140752400 is an apocalyptic number.

140752400 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 140752400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174548352).

140752400 is an abundant number, since it is smaller than the sum of its proper divisors (208344304).

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

140752400 is a wasteful number, since it uses less digits than its factorization.

140752400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11400 (or 11389 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 140752400 is about 11863.9116652140. The cubic root of 140752400 is about 520.1779469881.

The spelling of 140752400 in words is "one hundred forty million, seven hundred fifty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 496 620 775 1240 1550 2480 3100 6200 11351 12400 22702 45404 56755 90808 113510 181616 227020 283775 351881 454040 567550 703762 908080 1135100 1407524 1759405 2270200 2815048 3518810 4540400 5630096 7037620 8797025 14075240 17594050 28150480 35188100 70376200 140752400