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140157180 = 2232517163281
BaseRepresentation
bin10000101101010…
…10000011111100
3100202201201111200
420112222003330
5241340012210
621524015500
73321213342
oct1026520374
9322651450
10140157180
117212a189
123ab31590
1323063a57
1414885992
15c4880c0
hex85aa0fc

140157180 has 144 divisors (see below), whose sum is σ = 454525344. Its totient is φ = 34836480.

The previous prime is 140157133. The next prime is 140157187. The reversal of 140157180 is 81751041.

140157180 is a `hidden beast` number, since 14 + 0 + 1 + 571 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140157187) 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, 498640 + ... + 498920.

It is an arithmetic number, because the mean of its divisors is an integer number (3156426).

Almost surely, 2140157180 is an apocalyptic number.

140157180 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 140157180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227262672).

140157180 is an abundant number, since it is smaller than the sum of its proper divisors (314368164).

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

140157180 is a wasteful number, since it uses less digits than its factorization.

140157180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 140157180 is about 11838.7997702470. The cubic root of 140157180 is about 519.4436604176.

The spelling of 140157180 in words is "one hundred forty million, one hundred fifty-seven thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 163 170 180 204 255 281 306 326 340 489 510 562 612 652 765 815 843 978 1020 1124 1405 1467 1530 1630 1686 1956 2445 2529 2771 2810 2934 3060 3260 3372 4215 4777 4890 5058 5542 5620 5868 7335 8313 8430 9554 9780 10116 11084 12645 13855 14331 14670 16626 16860 19108 23885 24939 25290 27710 28662 29340 33252 41565 42993 45803 47770 49878 50580 55420 57324 71655 83130 85986 91606 95540 99756 124695 137409 143310 166260 171972 183212 214965 229015 249390 274818 286620 412227 429930 458030 498780 549636 687045 778651 824454 859860 916060 1374090 1557302 1648908 2061135 2335953 2748180 3114604 3893255 4122270 4671906 7007859 7786510 8244540 9343812 11679765 14015718 15573020 23359530 28031436 35039295 46719060 70078590 140157180