Search a number
-
+
60803136 = 263437317
BaseRepresentation
bin1110011111110…
…0100001000000
311020102010020000
43213330201000
5111031200021
610011120000
71335550422
oct347744100
9136363200
1060803136
113135a329
1218443000
13c79b6b4
14810a812
155510b26
hex39fc840

60803136 has 140 divisors (see below), whose sum is σ = 185694828. Its totient is φ = 19657728.

The previous prime is 60803089. The next prime is 60803201. The reversal of 60803136 is 63130806.

It can be written as a sum of positive squares in 2 ways, for example, as 27625536 + 33177600 = 5256^2 + 5760^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 191650 + ... + 191966.

Almost surely, 260803136 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 60803136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92847414).

60803136 is an abundant number, since it is smaller than the sum of its proper divisors (124891692).

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

60803136 is a wasteful number, since it uses less digits than its factorization.

60803136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 60803136 is about 7797.6365650112. The cubic root of 60803136 is about 393.2257894883.

It can be divided in two parts, 6080 and 3136, that added together give a square (9216 = 962).

The spelling of 60803136 in words is "sixty million, eight hundred three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 81 96 108 111 144 148 162 192 216 222 288 296 317 324 333 432 444 576 592 634 648 666 864 888 951 999 1184 1268 1296 1332 1728 1776 1902 1998 2368 2536 2592 2664 2853 2997 3552 3804 3996 5072 5184 5328 5706 5994 7104 7608 7992 8559 10144 10656 11412 11729 11988 15216 15984 17118 20288 21312 22824 23458 23976 25677 30432 31968 34236 35187 45648 46916 47952 51354 60864 63936 68472 70374 91296 93832 95904 102708 105561 136944 140748 182592 187664 191808 205416 211122 273888 281496 316683 375328 410832 422244 547776 562992 633366 750656 821664 844488 950049 1125984 1266732 1643328 1688976 1900098 2251968 2533464 3377952 3800196 5066928 6755904 7600392 10133856 15200784 20267712 30401568 60803136