Search a number
-
+
61990656 = 283713887
BaseRepresentation
bin1110110001111…
…0011100000000
311022122110012020
43230132130000
5111332200111
610052401440
71351624530
oct354363400
9138573166
1061990656
1131aa0552
1218916280
13cac6080
1483394c0
155697906
hex3b1e700

61990656 has 144 divisors (see below), whose sum is σ = 203288064. Its totient is φ = 16330752.

The previous prime is 61990637. The next prime is 61990657. The reversal of 61990656 is 65609916.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61990657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69445 + ... + 70331.

Almost surely, 261990656 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 61990656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101644032).

61990656 is an abundant number, since it is smaller than the sum of its proper divisors (141297408).

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

61990656 is a wasteful number, since it uses less digits than its factorization.

61990656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 61990656 is about 7873.4145070611. The cubic root of 61990656 is about 395.7692768835.

It can be divided in two parts, 6 and 1990656, that multiplied together give a square (11943936 = 34562).

The spelling of 61990656 in words is "sixty-one million, nine hundred ninety thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 546 624 672 728 768 832 887 896 1092 1248 1344 1456 1664 1774 1792 2184 2496 2661 2688 2912 3328 3548 4368 4992 5322 5376 5824 6209 7096 8736 9984 10644 11531 11648 12418 14192 17472 18627 21288 23062 23296 24836 28384 34593 34944 37254 42576 46124 49672 56768 69186 69888 74508 80717 85152 92248 99344 113536 138372 149016 161434 170304 184496 198688 227072 242151 276744 298032 322868 340608 368992 397376 484302 553488 596064 645736 681216 737984 794752 968604 1106976 1192128 1291472 1475968 1589504 1937208 2213952 2384256 2582944 2951936 3874416 4427904 4768512 5165888 7748832 8855808 10331776 15497664 20663552 30995328 61990656