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61023060 = 223257192549
BaseRepresentation
bin1110100011001…
…0001101010100
311020211021220100
43220302031110
5111110214220
610015534100
71340454540
oct350621524
9136737810
1061023060
113149a58a
121852a330
13c847827
148166a20
155555d90
hex3a32354

61023060 has 144 divisors (see below), whose sum is σ = 222768000. Its totient is φ = 13208832.

The previous prime is 61023059. The next prime is 61023077. The reversal of 61023060 is 6032016.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22666 + ... + 25214.

It is an arithmetic number, because the mean of its divisors is an integer number (1547000).

Almost surely, 261023060 is an apocalyptic number.

61023060 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 61023060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111384000).

61023060 is an abundant number, since it is smaller than the sum of its proper divisors (161744940).

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

61023060 is a wasteful number, since it uses less digits than its factorization.

61023060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2590 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 61023060 is about 7811.7258016395. The cubic root of 61023060 is about 393.6993162276.

Adding to 61023060 its reverse (6032016), we get a palindrome (67055076).

The spelling of 61023060 in words is "sixty-one million, twenty-three thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 630 665 684 798 855 1140 1197 1260 1330 1596 1710 1995 2394 2549 2660 3420 3990 4788 5098 5985 7647 7980 10196 11970 12745 15294 17843 22941 23940 25490 30588 35686 38235 45882 48431 50980 53529 71372 76470 89215 91764 96862 107058 114705 145293 152940 160587 178430 193724 214116 229410 242155 267645 290586 321174 339017 356860 435879 458820 484310 535290 581172 642348 678034 726465 802935 871758 968620 1017051 1070580 1356068 1452930 1605870 1695085 1743516 2034102 2179395 2905860 3051153 3211740 3390170 4068204 4358790 5085255 6102306 6780340 8717580 10170510 12204612 15255765 20341020 30511530 61023060