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140859936 = 25327107653
BaseRepresentation
bin10000110010101…
…01101000100000
3100211001102111200
420121111220200
5242030004221
621551041200
73330201240
oct1031255040
9324042450
10140859936
117256a178
123b210200
132324b899
14149c9b20
15c576426
hex8655a20

140859936 has 144 divisors (see below), whose sum is σ = 462780864. Its totient is φ = 39808512.

The previous prime is 140859883. The next prime is 140859947. The reversal of 140859936 is 639958041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 140859891 and 140859900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215386 + ... + 216038.

It is an arithmetic number, because the mean of its divisors is an integer number (3213756).

Almost surely, 2140859936 is an apocalyptic number.

140859936 is a gapful number since it is divisible by the number (16) 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 140859936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231390432).

140859936 is an abundant number, since it is smaller than the sum of its proper divisors (321920928).

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

140859936 is a wasteful number, since it uses less digits than its factorization.

140859936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 140859936 is about 11868.4428633246. The cubic root of 140859936 is about 520.3103866862.

The spelling of 140859936 in words is "one hundred forty million, eight hundred fifty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 107 112 126 144 168 214 224 252 288 321 336 428 504 642 653 672 749 856 963 1008 1284 1306 1498 1712 1926 1959 2016 2247 2568 2612 2996 3424 3852 3918 4494 4571 5136 5224 5877 5992 6741 7704 7836 8988 9142 10272 10448 11754 11984 13482 13713 15408 15672 17976 18284 20896 23508 23968 26964 27426 30816 31344 35952 36568 41139 47016 53928 54852 62688 69871 71904 73136 82278 94032 107856 109704 139742 146272 164556 188064 209613 215712 219408 279484 329112 419226 438816 489097 558968 628839 658224 838452 978194 1117936 1257678 1316448 1467291 1676904 1956388 2235872 2515356 2934582 3353808 3912776 4401873 5030712 5869164 6707616 7825552 8803746 10061424 11738328 15651104 17607492 20122848 23476656 35214984 46953312 70429968 140859936