Search a number
-
+
68822520 = 233513157281
BaseRepresentation
bin1000001101000…
…10010111111000
311210111112202020
410012202113320
5120104310040
610455034440
71463660514
oct406422770
9153445666
1068822520
1135937418
121b06ba20
13113488b0
1491d7144
156096cd0
hex41a25f8

68822520 has 128 divisors (see below), whose sum is σ = 224562240. Its totient is φ = 16773120.

The previous prime is 68822519. The next prime is 68822531. The reversal of 68822520 is 2522886.

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, 244780 + ... + 245060.

Almost surely, 268822520 is an apocalyptic number.

68822520 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 68822520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112281120).

68822520 is an abundant number, since it is smaller than the sum of its proper divisors (155739720).

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

68822520 is a wasteful number, since it uses less digits than its factorization.

68822520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 68822520 is about 8295.9339438064. The cubic root of 68822520 is about 409.8046263281.

The spelling of 68822520 in words is "sixty-eight million, eight hundred twenty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 157 195 260 281 312 314 390 471 520 562 628 780 785 843 942 1124 1256 1405 1560 1570 1686 1884 2041 2248 2355 2810 3140 3372 3653 3768 4082 4215 4710 5620 6123 6280 6744 7306 8164 8430 9420 10205 10959 11240 12246 14612 16328 16860 18265 18840 20410 21918 24492 29224 30615 33720 36530 40820 43836 44117 48984 54795 61230 73060 81640 87672 88234 109590 122460 132351 146120 176468 219180 220585 244920 264702 352936 438360 441170 529404 573521 661755 882340 1058808 1147042 1323510 1720563 1764680 2294084 2647020 2867605 3441126 4588168 5294040 5735210 6882252 8602815 11470420 13764504 17205630 22940840 34411260 68822520