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140523300 = 223252193809
BaseRepresentation
bin10000110000000…
…11011100100100
3100210102022201200
420120003130210
5241433221200
621535522500
73324266631
oct1030033444
9323368650
10140523300
117235a265
123b089430
13231615a8
141493d188
15c50b800
hex8603724

140523300 has 108 divisors (see below), whose sum is σ = 443291940. Its totient is φ = 37232640.

The previous prime is 140523283. The next prime is 140523329. The reversal of 140523300 is 3325041.

140523300 is a `hidden beast` number, since 140 + 523 + 3 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 527076 + 139996224 = 726^2 + 11832^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 173296 + ... + 174104.

It is an arithmetic number, because the mean of its divisors is an integer number (4104555).

Almost surely, 2140523300 is an apocalyptic number.

140523300 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 140523300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221645970).

140523300 is an abundant number, since it is smaller than the sum of its proper divisors (302768640).

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

140523300 is a wasteful number, since it uses less digits than its factorization.

140523300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 140523300 is about 11854.2524015646. The cubic root of 140523300 is about 519.8955658124.

Adding to 140523300 its reverse (3325041), we get a palindrome (143848341).

The spelling of 140523300 in words is "one hundred forty million, five hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 193 225 300 386 450 579 772 809 900 965 1158 1618 1737 1930 2316 2427 2895 3236 3474 3860 4045 4825 4854 5790 6948 7281 8090 8685 9650 9708 11580 12135 14475 14562 16180 17370 19300 20225 24270 28950 29124 34740 36405 40450 43425 48540 57900 60675 72810 80900 86850 121350 145620 156137 173700 182025 242700 312274 364050 468411 624548 728100 780685 936822 1405233 1561370 1873644 2342055 2810466 3122740 3903425 4684110 5620932 7026165 7806850 9368220 11710275 14052330 15613700 23420550 28104660 35130825 46841100 70261650 140523300