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61960920 = 23357174339
BaseRepresentation
bin1110110001011…
…1001011011000
311022120221101220
43230113023120
5111330222140
610052012040
71351442040
oct354271330
9138527356
1061960920
1131a8017a
1218901020
13cab5688
14832c720
15568dbd0
hex3b172d8

61960920 has 128 divisors (see below), whose sum is σ = 224985600. Its totient is φ = 13326336.

The previous prime is 61960891. The next prime is 61960931. The reversal of 61960920 is 2906916.

It is a happy number.

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, 12111 + ... + 16449.

It is an arithmetic number, because the mean of its divisors is an integer number (1757700).

Almost surely, 261960920 is an apocalyptic number.

61960920 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 61960920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112492800).

61960920 is an abundant number, since it is smaller than the sum of its proper divisors (163024680).

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

61960920 is a wasteful number, since it uses less digits than its factorization.

61960920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4377 (or 4373 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 61960920 is about 7871.5259003576. The cubic root of 61960920 is about 395.7059852080.

The spelling of 61960920 in words is "sixty-one million, nine hundred sixty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 84 85 102 105 119 120 136 140 168 170 204 210 238 255 280 340 357 408 420 476 510 595 680 714 840 952 1020 1190 1428 1785 2040 2380 2856 3570 4339 4760 7140 8678 13017 14280 17356 21695 26034 30373 34712 43390 52068 60746 65085 73763 86780 91119 104136 121492 130170 147526 151865 173560 182238 221289 242984 260340 295052 303730 364476 368815 442578 455595 516341 520680 590104 607460 728952 737630 885156 911190 1032682 1106445 1214920 1475260 1549023 1770312 1822380 2065364 2212890 2581705 2950520 3098046 3644760 4130728 4425780 5163410 6196092 7745115 8851560 10326820 12392184 15490230 20653640 30980460 61960920