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1419999960 = 2335195871061
BaseRepresentation
bin101010010100011…
…0111101011011000
310122221222110202010
41110220313223120
510402004444320
6352523305520
750121541401
oct12450675330
93587873663
101419999960
11669609a95
1233767b2a0
13198261b82
14d683a9a8
15849e5ae0
hex54a37ad8

1419999960 has 128 divisors (see below), whose sum is σ = 4496083200. Its totient is φ = 357788160.

The previous prime is 1419999913. The next prime is 1419999983. The reversal of 1419999960 is 699999141.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 1419999960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1337830 + ... + 1338890.

It is an arithmetic number, because the mean of its divisors is an integer number (35125650).

Almost surely, 21419999960 is an apocalyptic number.

1419999960 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 1419999960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248041600).

1419999960 is an abundant number, since it is smaller than the sum of its proper divisors (3076083240).

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

1419999960 is a wasteful number, since it uses less digits than its factorization.

1419999960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 1417176, while the sum is 57.

The square root of 1419999960 is about 37682.8868320886. The cubic root of 1419999960 is about 1123.9908540603.

The spelling of 1419999960 in words is "one billion, four hundred nineteen million, nine hundred ninety-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 587 760 1061 1140 1174 1761 2122 2280 2348 2935 3183 3522 4244 4696 5305 5870 6366 7044 8488 8805 10610 11153 11740 12732 14088 15915 17610 20159 21220 22306 23480 25464 31830 33459 35220 40318 42440 44612 55765 60477 63660 66918 70440 80636 89224 100795 111530 120954 127320 133836 161272 167295 201590 223060 241908 267672 302385 334590 403180 446120 483816 604770 622807 669180 806360 1209540 1245614 1338360 1868421 2419080 2491228 3114035 3736842 4982456 6228070 7473684 9342105 11833333 12456140 14947368 18684210 23666666 24912280 35499999 37368420 47333332 59166665 70999998 74736840 94666664 118333330 141999996 177499995 236666660 283999992 354999990 473333320 709999980 1419999960