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61141520 = 24511176167
BaseRepresentation
bin1110100100111…
…1001000010000
311021001022101202
43221033020100
5111123012040
610022250332
71341460106
oct351171020
9137038352
1061141520
1131570590
12185869a8
13c88971b
148197c76
15557b015
hex3a4f210

61141520 has 160 divisors (see below), whose sum is σ = 169382016. Its totient is φ = 20275200.

The previous prime is 61141519. The next prime is 61141543. The reversal of 61141520 is 2514116.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 61141492 and 61141501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 912527 + ... + 912593.

Almost surely, 261141520 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 61141520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84691008).

61141520 is an abundant number, since it is smaller than the sum of its proper divisors (108240496).

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

61141520 is a wasteful number, since it uses less digits than its factorization.

61141520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 61141520 is about 7819.3043168814. The cubic root of 61141520 is about 393.9539056420.

Adding to 61141520 its reverse (2514116), we get a palindrome (63655636).

The spelling of 61141520 in words is "sixty-one million, one hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 61 67 68 80 85 88 110 122 134 136 170 176 187 220 244 268 272 305 335 340 374 440 488 536 610 670 671 680 737 748 880 935 976 1037 1072 1139 1220 1340 1342 1360 1474 1496 1870 2074 2278 2440 2680 2684 2948 2992 3355 3685 3740 4087 4148 4556 4880 5185 5360 5368 5695 5896 6710 7370 7480 8174 8296 9112 10370 10736 11390 11407 11792 12529 13420 14740 14960 16348 16592 18224 20435 20740 22780 22814 25058 26840 29480 32696 40870 41480 44957 45560 45628 50116 53680 57035 58960 62645 65392 69479 81740 82960 89914 91120 91256 100232 114070 125290 138958 163480 179828 182512 200464 224785 228140 250580 277916 326960 347395 359656 449570 456280 501160 555832 694790 719312 764269 899140 912560 1002320 1111664 1389580 1528538 1798280 2779160 3057076 3596560 3821345 5558320 6114152 7642690 12228304 15285380 30570760 61141520