Search a number
-
+
2079720432 = 2432172773067
BaseRepresentation
bin111101111110110…
…0000001111110000
312100221100202002200
41323331200033300
513224402023212
6542211343200
7102352221606
oct17375401760
95327322080
102079720432
11977a47819
124a05b1b00
13271b3a40a
1415a2cb876
15c28ad6dc
hex7bf603f0

2079720432 has 120 divisors (see below), whose sum is σ = 6186965616. Its totient is φ = 649893888.

The previous prime is 2079720407. The next prime is 2079720443. The reversal of 2079720432 is 2340279702.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 676563 + ... + 679629.

Almost surely, 22079720432 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 2079720432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3093482808).

2079720432 is an abundant number, since it is smaller than the sum of its proper divisors (4107245184).

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

2079720432 is a wasteful number, since it uses less digits than its factorization.

2079720432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3375 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 2079720432 is about 45603.9519340155. The cubic root of 2079720432 is about 1276.4436666979.

The spelling of 2079720432 in words is "two billion, seventy-nine million, seven hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 277 306 408 554 612 816 831 1108 1224 1662 2216 2448 2493 3067 3324 4432 4709 4986 6134 6648 9201 9418 9972 12268 13296 14127 18402 18836 19944 24536 27603 28254 36804 37672 39888 42381 49072 52139 55206 56508 73608 75344 84762 104278 110412 113016 147216 156417 169524 208556 220824 226032 312834 339048 417112 441648 469251 625668 678096 834224 849559 938502 1251336 1699118 1877004 2502672 2548677 3398236 3754008 5097354 6796472 7508016 7646031 10194708 13592944 14442503 15292062 20389416 28885006 30584124 40778832 43327509 57770012 61168248 86655018 115540024 122336496 129982527 173310036 231080048 259965054 346620072 519930108 693240144 1039860216 2079720432