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140788128 = 25313971163
BaseRepresentation
bin10000110010001…
…00000110100000
3100210220210000010
420121010012200
5242020210003
621545324520
73326452005
oct1031040640
9323823003
10140788128
1172520228
123b196740
1323224cb0
14149ab8ac
15c560003
hex86441a0

140788128 has 96 divisors (see below), whose sum is σ = 402446016. Its totient is φ = 42835968.

The previous prime is 140788117. The next prime is 140788133. The reversal of 140788128 is 821887041.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 120475 + ... + 121637.

It is an arithmetic number, because the mean of its divisors is an integer number (4192146).

Almost surely, 2140788128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140788128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201223008).

140788128 is an abundant number, since it is smaller than the sum of its proper divisors (261657888).

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

140788128 is a wasteful number, since it uses less digits than its factorization.

140788128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 39.

The square root of 140788128 is about 11865.4173125095. The cubic root of 140788128 is about 520.2219565288.

The spelling of 140788128 in words is "one hundred forty million, seven hundred eighty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 97 104 156 194 208 291 312 388 416 582 624 776 1163 1164 1248 1261 1552 2326 2328 2522 3104 3489 3783 4652 4656 5044 6978 7566 9304 9312 10088 13956 15119 15132 18608 20176 27912 30238 30264 37216 40352 45357 55824 60476 60528 90714 111648 112811 120952 121056 181428 225622 241904 338433 362856 451244 483808 676866 725712 902488 1353732 1451424 1466543 1804976 2707464 2933086 3609952 4399629 5414928 5866172 8799258 10829856 11732344 17598516 23464688 35197032 46929376 70394064 140788128