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6654014040 = 23352911316921
BaseRepresentation
bin1100011001001110…
…00011001001011000
3122011201200221021110
412030213003021120
5102111411422130
63020134340320
7323615120562
oct61447031130
918151627243
106654014040
112905021263
1213584ba6a0
13820726b1b
14471a16332
1528e274ab0
hex18c9c3258

6654014040 has 128 divisors (see below), whose sum is σ = 20834366400. Its totient is φ = 1697955840.

The previous prime is 6654013987. The next prime is 6654014063. The reversal of 6654014040 is 404104566.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6654013989 and 6654014007.

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, 384780 + ... + 401700.

Almost surely, 26654014040 is an apocalyptic number.

6654014040 is a gapful number since it is divisible by the number (60) 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 6654014040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10417183200).

6654014040 is an abundant number, since it is smaller than the sum of its proper divisors (14180352360).

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

6654014040 is a wasteful number, since it uses less digits than its factorization.

6654014040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17077 (or 17073 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 6654014040 is about 81572.1400969718. The cubic root of 6654014040 is about 1880.8806459641.

The spelling of 6654014040 in words is "six billion, six hundred fifty-four million, fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 113 116 120 145 174 226 232 290 339 348 435 452 565 580 678 696 870 904 1130 1160 1356 1695 1740 2260 2712 3277 3390 3480 4520 6554 6780 9831 13108 13560 16385 16921 19662 26216 32770 33842 39324 49155 50763 65540 67684 78648 84605 98310 101526 131080 135368 169210 196620 203052 253815 338420 393240 406104 490709 507630 676840 981418 1015260 1472127 1912073 1962836 2030520 2453545 2944254 3824146 3925672 4907090 5736219 5888508 7360635 7648292 9560365 9814180 11472438 11777016 14721270 15296584 19120730 19628360 22944876 28681095 29442540 38241460 45889752 55450117 57362190 58885080 76482920 110900234 114724380 166350351 221800468 229448760 277250585 332700702 443600936 554501170 665401404 831751755 1109002340 1330802808 1663503510 2218004680 3327007020 6654014040