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61642620 = 22345132927
BaseRepresentation
bin1110101100100…
…1011101111100
311021222202210000
43223021131330
5111240030440
610041114300
71345645044
oct353113574
9137882700
1061642620
1131883016
1218788990
13ca03830
148288724
155629730
hex3ac977c

61642620 has 120 divisors (see below), whose sum is σ = 208321344. Its totient is φ = 15168384.

The previous prime is 61642597. The next prime is 61642643. The reversal of 61642620 is 2624616.

It is a happy number.

61642620 is a `hidden beast` number, since 616 + 4 + 26 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (61642597) and next prime (61642643).

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

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, 19597 + ... + 22523.

Almost surely, 261642620 is an apocalyptic number.

61642620 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 61642620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104160672).

61642620 is an abundant number, since it is smaller than the sum of its proper divisors (146678724).

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

61642620 is a wasteful number, since it uses less digits than its factorization.

61642620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2961 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 61642620 is about 7851.2814240734. The cubic root of 61642620 is about 395.0272266657.

The spelling of 61642620 in words is "sixty-one million, six hundred forty-two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 2927 3510 4212 5265 5854 7020 8781 10530 11708 14635 17562 21060 26343 29270 35124 38051 43905 52686 58540 76102 79029 87810 105372 114153 131715 152204 158058 175620 190255 228306 237087 263430 316116 342459 380510 395145 456612 474174 526860 570765 684918 761020 790290 948348 1027377 1141530 1185435 1369836 1580580 1712295 2054754 2283060 2370870 3082131 3424590 4109508 4741740 5136885 6164262 6849180 10273770 12328524 15410655 20547540 30821310 61642620