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140142480 = 24351973421
BaseRepresentation
bin10000101101001…
…10011110010000
3100202200222100020
420112212132100
5241334024410
621523423440
73321122442
oct1026463620
9322628306
10140142480
117211a135
123ab24b80
132305a15a
1414880492
15c483a70
hex85a6790

140142480 has 160 divisors (see below), whose sum is σ = 464672640. Its totient is φ = 34836480.

The previous prime is 140142463. The next prime is 140142481. The reversal of 140142480 is 84241041.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 140142480.

It is not an unprimeable number, because it can be changed into a prime (140142481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332670 + ... + 333090.

It is an arithmetic number, because the mean of its divisors is an integer number (2904204).

Almost surely, 2140142480 is an apocalyptic number.

140142480 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 140142480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232336320).

140142480 is an abundant number, since it is smaller than the sum of its proper divisors (324530160).

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

140142480 is a wasteful number, since it uses less digits than its factorization.

140142480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 140142480 is about 11838.1789140053. The cubic root of 140142480 is about 519.4254996432.

The spelling of 140142480 in words is "one hundred forty million, one hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 73 76 80 95 114 120 146 152 190 219 228 240 285 292 304 365 380 421 438 456 570 584 730 760 842 876 912 1095 1140 1168 1263 1387 1460 1520 1684 1752 2105 2190 2280 2526 2774 2920 3368 3504 4161 4210 4380 4560 5052 5548 5840 6315 6736 6935 7999 8322 8420 8760 10104 11096 12630 13870 15998 16644 16840 17520 20208 20805 22192 23997 25260 27740 30733 31996 33288 33680 39995 41610 47994 50520 55480 61466 63992 66576 79990 83220 92199 95988 101040 110960 119985 122932 127984 153665 159980 166440 184398 191976 239970 245864 307330 319960 332880 368796 383952 460995 479940 491728 583927 614660 639920 737592 921990 959880 1167854 1229320 1475184 1751781 1843980 1919760 2335708 2458640 2919635 3503562 3687960 4671416 5839270 7007124 7375920 8758905 9342832 11678540 14014248 17517810 23357080 28028496 35035620 46714160 70071240 140142480