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140397408 = 2533433779
BaseRepresentation
bin10000101111001…
…00101101100000
3100210011221001000
420113210231200
5241420204113
621533112000
73323233614
oct1027445540
9323157030
10140397408
1172283718
123b028600
13231191b8
1414909344
15c4d4373
hex85e4b60

140397408 has 96 divisors (see below), whose sum is σ = 419126400. Its totient is φ = 45698688.

The previous prime is 140397391. The next prime is 140397427. The reversal of 140397408 is 804793041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1403974082 = 39422864346236928, which contains 22 as substring.

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

It is a congruent number.

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, 35263 + ... + 39041.

It is an arithmetic number, because the mean of its divisors is an integer number (4365900).

Almost surely, 2140397408 is an apocalyptic number.

140397408 is a gapful number since it is divisible by the number (18) 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 140397408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209563200).

140397408 is an abundant number, since it is smaller than the sum of its proper divisors (278728992).

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

140397408 is a wasteful number, since it uses less digits than its factorization.

140397408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3841 (or 3827 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 140397408 is about 11848.9412185224. The cubic root of 140397408 is about 519.7402647635.

The spelling of 140397408 in words is "one hundred forty million, three hundred ninety-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 86 96 108 129 144 172 216 258 288 344 387 432 516 688 774 864 1032 1161 1376 1548 2064 2322 3096 3779 4128 4644 6192 7558 9288 11337 12384 15116 18576 22674 30232 34011 37152 45348 60464 68022 90696 102033 120928 136044 162497 181392 204066 272088 324994 362784 408132 487491 544176 649988 816264 974982 1088352 1299976 1462473 1632528 1949964 2599952 2924946 3265056 3899928 4387419 5199904 5849892 7799856 8774838 11699784 15599712 17549676 23399568 35099352 46799136 70198704 140397408