Search a number
-
+
160472664 = 23341147479
BaseRepresentation
bin10011001000010…
…01111001011000
3102011221212010000
421210021321120
5312040111124
623531253000
73655665222
oct1144117130
9364855100
10160472664
1182645540
12458aa160
1327327951
1417453412
15e14c6c9
hex9909e58

160472664 has 160 divisors (see below), whose sum is σ = 501811200. Its totient is φ = 47494080.

The previous prime is 160472657. The next prime is 160472687. The reversal of 160472664 is 466274061.

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 39 ways as a sum of consecutive naturals, for example, 334777 + ... + 335255.

It is an arithmetic number, because the mean of its divisors is an integer number (3136320).

Almost surely, 2160472664 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 160472664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250905600).

160472664 is an abundant number, since it is smaller than the sum of its proper divisors (341338536).

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

160472664 is a wasteful number, since it uses less digits than its factorization.

160472664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 160472664 is about 12667.7805475150. The cubic root of 160472664 is about 543.4175842185.

The spelling of 160472664 in words is "one hundred sixty million, four hundred seventy-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 47 54 66 72 81 88 94 99 108 132 141 162 188 198 216 264 282 297 324 376 396 423 479 517 564 594 648 792 846 891 958 1034 1128 1188 1269 1437 1551 1692 1782 1916 2068 2376 2538 2874 3102 3384 3564 3807 3832 4136 4311 4653 5076 5269 5748 6204 7128 7614 8622 9306 10152 10538 11496 12408 12933 13959 15228 15807 17244 18612 21076 22513 25866 27918 30456 31614 34488 37224 38799 41877 42152 45026 47421 51732 55836 63228 67539 77598 83754 90052 94842 103464 111672 126456 135078 142263 155196 167508 180104 189684 202617 247643 270156 284526 310392 335016 379368 405234 426789 495286 540312 569052 607851 742929 810468 853578 990572 1138104 1215702 1485858 1620936 1707156 1823553 1981144 2228787 2431404 2971716 3414312 3647106 4457574 4862808 5943432 6686361 7294212 8915148 13372722 14588424 17830296 20059083 26745444 40118166 53490888 80236332 160472664