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140642640 = 24325229853
BaseRepresentation
bin10000110001000…
…00100101010000
3100210122101102200
420120200211100
5242001031030
621542243200
73325304565
oct1030404520
9323571380
10140642640
1172430996
123b126500
13231a39c8
141497086c
15c531d60
hex8620950

140642640 has 120 divisors (see below), whose sum is σ = 474943560. Its totient is φ = 37297152.

The previous prime is 140642639. The next prime is 140642647. The reversal of 140642640 is 46246041.

140642640 is a `hidden beast` number, since 14 + 0 + 6 + 4 + 2 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13133376 + 127509264 = 3624^2 + 11292^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140642647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164454 + ... + 165306.

It is an arithmetic number, because the mean of its divisors is an integer number (3957863).

Almost surely, 2140642640 is an apocalyptic number.

140642640 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 140642640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237471780).

140642640 is an abundant number, since it is smaller than the sum of its proper divisors (334300920).

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

140642640 is a wasteful number, since it uses less digits than its factorization.

140642640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 140642640 is about 11859.2849700140. The cubic root of 140642640 is about 520.0426986634.

Adding to 140642640 its reverse (46246041), we get a palindrome (186888681).

The spelling of 140642640 in words is "one hundred forty million, six hundred forty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 229 240 360 458 687 720 853 916 1145 1374 1706 1832 2061 2290 2559 2748 3412 3435 3664 4122 4265 4580 5118 5496 6824 6870 7677 8244 8530 9160 10236 10305 10992 12795 13648 13740 15354 16488 17060 18320 20472 20610 25590 27480 30708 32976 34120 38385 40944 41220 51180 54960 61416 68240 76770 82440 102360 122832 153540 164880 195337 204720 307080 390674 586011 614160 781348 976685 1172022 1562696 1758033 1953370 2344044 2930055 3125392 3516066 3906740 4688088 5860110 7032132 7813480 8790165 9376176 11720220 14064264 15626960 17580330 23440440 28128528 35160660 46880880 70321320 140642640