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140821920 = 25325195147
BaseRepresentation
bin10000110010011…
…00010110100000
3100210222111100200
420121030112200
5242022300140
621550145200
73326652351
oct1031142640
9323874320
10140821920
1172543658
123b1b2200
13232374a5
14149b9d28
15c56a030
hex864c5a0

140821920 has 144 divisors (see below), whose sum is σ = 505945440. Its totient is φ = 35569152.

The previous prime is 140821903. The next prime is 140821927. The reversal of 140821920 is 29128041.

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

It is not an unprimeable number, because it can be changed into a prime (140821927) 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, 24787 + ... + 29933.

It is an arithmetic number, because the mean of its divisors is an integer number (3513510).

Almost surely, 2140821920 is an apocalyptic number.

140821920 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 140821920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252972720).

140821920 is an abundant number, since it is smaller than the sum of its proper divisors (365123520).

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

140821920 is a wasteful number, since it uses less digits than its factorization.

140821920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5187 (or 5176 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 140821920 is about 11866.8411972184. The cubic root of 140821920 is about 520.2635744652.

Adding to 140821920 its reverse (29128041), we get a palindrome (169949961).

The spelling of 140821920 in words is "one hundred forty million, eight hundred twenty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 4560 5147 5472 6840 9120 10294 13680 15441 20588 25735 27360 30882 41176 46323 51470 61764 77205 82352 92646 97793 102940 123528 154410 164704 185292 195586 205880 231615 247056 293379 308820 370584 391172 411760 463230 488965 494112 586758 617640 741168 782344 823520 880137 926460 977930 1173516 1235280 1466895 1482336 1564688 1760274 1852920 1955860 2347032 2470560 2933790 3129376 3520548 3705840 3911720 4400685 4694064 5867580 7041096 7411680 7823440 8801370 9388128 11735160 14082192 15646880 17602740 23470320 28164384 35205480 46940640 70410960 140821920