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359996140 = 225722953239
BaseRepresentation
bin10101011101010…
…001101011101100
3221002101200212101
4111131101223230
51214124334030
655415544444
711630626300
oct2535215354
9832350771
10359996140
11175232479
12a068b124
135977608a
1435b4dd00
15219107ca
hex15751aec

359996140 has 144 divisors (see below), whose sum is σ = 930787200. Its totient is φ = 116433408.

The previous prime is 359996137. The next prime is 359996201. The reversal of 359996140 is 41699953.

359996140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1506141 + ... + 1506379.

It is an arithmetic number, because the mean of its divisors is an integer number (6463800).

Almost surely, 2359996140 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 359996140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465393600).

359996140 is an abundant number, since it is smaller than the sum of its proper divisors (570791060).

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

359996140 is a wasteful number, since it uses less digits than its factorization.

359996140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 46.

The square root of 359996140 is about 18973.5642408062. The cubic root of 359996140 is about 711.3761183689.

The spelling of 359996140 in words is "three hundred fifty-nine million, nine hundred ninety-six thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 53 58 70 98 106 116 140 145 196 203 212 239 245 265 290 371 406 478 490 530 580 742 812 956 980 1015 1060 1195 1421 1484 1537 1673 1855 2030 2390 2597 2842 3074 3346 3710 4060 4780 5194 5684 6148 6692 6931 7105 7420 7685 8365 10388 10759 11711 12667 12985 13862 14210 15370 16730 21518 23422 25334 25970 27724 28420 30740 33460 34655 43036 46844 48517 50668 51940 53795 58555 63335 69310 75313 88669 97034 107590 117110 126670 138620 150626 177338 194068 215180 234220 242585 253340 301252 339619 354676 367343 376565 443345 485170 620683 679238 734686 753130 886690 970340 1241366 1358476 1469372 1506260 1698095 1773380 1836715 2482732 2571401 3103415 3396190 3673430 5142802 6206830 6792380 7346860 10285604 12413660 12857005 17999807 25714010 35999614 51428020 71999228 89999035 179998070 359996140