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140074400 = 2552311563
BaseRepresentation
bin10000101100101…
…01110110100000
3100202120111221202
420112111312200
5241324340100
621522140332
73320420114
oct1026256640
9322514852
10140074400
1172082a74
123aab16a8
132303517b
1414863744
15c46d7d5
hex8595da0

140074400 has 72 divisors (see below), whose sum is σ = 343665504. Its totient is φ = 55750400.

The previous prime is 140074397. The next prime is 140074411. The reversal of 140074400 is 4470041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248519 + ... + 249081.

It is an arithmetic number, because the mean of its divisors is an integer number (4773132).

Almost surely, 2140074400 is an apocalyptic number.

140074400 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 140074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171832752).

140074400 is an abundant number, since it is smaller than the sum of its proper divisors (203591104).

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

140074400 is a wasteful number, since it uses less digits than its factorization.

140074400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 140074400 is about 11835.3031224384. The cubic root of 140074400 is about 519.3413752202.

The spelling of 140074400 in words is "one hundred forty million, seventy-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 311 400 563 622 800 1126 1244 1555 2252 2488 2815 3110 4504 4976 5630 6220 7775 9008 9952 11260 12440 14075 15550 18016 22520 24880 28150 31100 45040 49760 56300 62200 90080 112600 124400 175093 225200 248800 350186 450400 700372 875465 1400744 1750930 2801488 3501860 4377325 5602976 7003720 8754650 14007440 17509300 28014880 35018600 70037200 140074400