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3914901960 = 2335316911523
BaseRepresentation
bin1110100101011000…
…1010100111001000
3101002211120121212220
43221112022213020
531004203330320
61444245534040
7166005055224
oct35126124710
911084517786
103914901960
111729950872
12913114320
134a50c7a48
14291d21784
1517da65e40
hexe958a9c8

3914901960 has 128 divisors (see below), whose sum is σ = 12149084160. Its totient is φ = 1008172800.

The previous prime is 3914901937. The next prime is 3914901961. The reversal of 3914901960 is 691094193.

It is not an unprimeable number, because it can be changed into a prime (3914901961) 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, 2569759 + ... + 2571281.

It is an arithmetic number, because the mean of its divisors is an integer number (94914720).

Almost surely, 23914901960 is an apocalyptic number.

3914901960 is a gapful number since it is divisible by the number (30) 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 3914901960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6074542080).

3914901960 is an abundant number, since it is smaller than the sum of its proper divisors (8234182200).

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

3914901960 is a wasteful number, since it uses less digits than its factorization.

3914901960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 42.

The square root of 3914901960 is about 62569.1773959032. The cubic root of 3914901960 is about 1576.0632055268.

The spelling of 3914901960 in words is "three billion, nine hundred fourteen million, nine hundred one thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 691 744 930 1240 1382 1523 1860 2073 2764 3046 3455 3720 4146 4569 5528 6092 6910 7615 8292 9138 10365 12184 13820 15230 16584 18276 20730 21421 22845 27640 30460 36552 41460 42842 45690 47213 60920 64263 82920 85684 91380 94426 107105 128526 141639 171368 182760 188852 214210 236065 257052 283278 321315 377704 428420 472130 514104 566556 642630 708195 856840 944260 1052393 1133112 1285260 1416390 1888520 2104786 2570520 2832780 3157179 4209572 5261965 5665560 6314358 8419144 10523930 12628716 15785895 21047860 25257432 31571790 32624183 42095720 63143580 65248366 97872549 126287160 130496732 163120915 195745098 260993464 326241830 391490196 489362745 652483660 782980392 978725490 1304967320 1957450980 3914901960