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5946139920 = 243578342643
BaseRepresentation
bin1011000100110101…
…01110010100010000
3120100101201012112110
411202122232110100
544134202434140
62422010225320
7300231232620
oct54232562420
916311635473
105946139920
112581493a26
12119b425240
13739b8b6b6
144059cc880
1524c049380
hex1626ae510

5946139920 has 160 divisors (see below), whose sum is σ = 21320635392. Its totient is φ = 1342711296.

The previous prime is 5946139909. The next prime is 5946139921. The reversal of 5946139920 is 299316495.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5946139920.

It is not an unprimeable number, because it can be changed into a prime (5946139921) 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, 118119 + ... + 160761.

Almost surely, 25946139920 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 5946139920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10660317696).

5946139920 is an abundant number, since it is smaller than the sum of its proper divisors (15374495472).

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

5946139920 is a wasteful number, since it uses less digits than its factorization.

5946139920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42749 (or 42743 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The square root of 5946139920 is about 77111.2178609572. The cubic root of 5946139920 is about 1811.6670050679.

The spelling of 5946139920 in words is "five billion, nine hundred forty-six million, one hundred thirty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 83 84 105 112 120 140 166 168 210 240 249 280 332 336 415 420 498 560 581 664 830 840 996 1162 1245 1328 1660 1680 1743 1992 2324 2490 2905 3320 3486 3984 4648 4980 5810 6640 6972 8715 9296 9960 11620 13944 17430 19920 23240 27888 34860 42643 46480 69720 85286 127929 139440 170572 213215 255858 298501 341144 426430 511716 597002 639645 682288 852860 895503 1023432 1194004 1279290 1492505 1705720 1791006 2046864 2388008 2558580 2985010 3411440 3539369 3582012 4477515 4776016 5117160 5970020 7078738 7164024 8955030 10234320 10618107 11940040 14157476 14328048 17696845 17910060 21236214 23880080 24775583 28314952 35393690 35820120 42472428 49551166 53090535 56629904 70787380 71640240 74326749 84944856 99102332 106181070 123877915 141574760 148653498 169889712 198204664 212362140 247755830 283149520 297306996 371633745 396409328 424724280 495511660 594613992 743267490 849448560 991023320 1189227984 1486534980 1982046640 2973069960 5946139920