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140795676 = 223273167269
BaseRepresentation
bin10000110010001…
…01111100011100
3100210221011100200
420121011330130
5242020430201
621545423500
73326513010
oct1031057434
9323834320
10140795676
117252596a
123b19ab90
1323228568
14149b0540
15c562386
hex8645f1c

140795676 has 144 divisors (see below), whose sum is σ = 427714560. Its totient is φ = 38206080.

The previous prime is 140795671. The next prime is 140795687. The reversal of 140795676 is 676597041.

It is a happy number.

140795676 is a `hidden beast` number, since 14 + 0 + 79 + 567 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140795671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523270 + ... + 523538.

It is an arithmetic number, because the mean of its divisors is an integer number (2970240).

Almost surely, 2140795676 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 140795676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213857280).

140795676 is an abundant number, since it is smaller than the sum of its proper divisors (286918884).

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

140795676 is a wasteful number, since it uses less digits than its factorization.

140795676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 140795676 is about 11865.7353754413. The cubic root of 140795676 is about 520.2312531582.

The spelling of 140795676 in words is "one hundred forty million, seven hundred ninety-five thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 67 84 93 124 126 134 186 201 217 252 268 269 279 372 402 434 469 538 558 603 651 804 807 868 938 1076 1116 1206 1302 1407 1614 1876 1883 1953 2077 2412 2421 2604 2814 3228 3766 3906 4154 4221 4842 5628 5649 6231 7532 7812 8308 8339 8442 9684 11298 12462 14539 16678 16884 16947 18023 18693 22596 24924 25017 29078 33356 33894 36046 37386 43617 50034 54069 58156 58373 67788 72092 74772 75051 87234 100068 108138 116746 126161 130851 150102 162207 174468 175119 216276 233492 252322 261702 300204 324414 350238 378483 504644 523404 525357 558713 648828 700476 756966 1050714 1117426 1135449 1513932 1676139 2101428 2234852 2270898 3352278 3910991 4541796 5028417 6704556 7821982 10056834 11732973 15643964 20113668 23465946 35198919 46931892 70397838 140795676