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61240536 = 2334723587
BaseRepresentation
bin1110100110011…
…1010011011000
311021020100020000
43221213103120
5111134144121
610024333000
71342351560
oct351472330
9137210200
1061240536
1131628a15
1218614160
13c8c2806
1481c1da0
15559a526
hex3a674d8

61240536 has 160 divisors (see below), whose sum is σ = 204906240. Its totient is φ = 16708032.

The previous prime is 61240453. The next prime is 61240537. The reversal of 61240536 is 63504216.

61240536 is a `hidden beast` number, since 6 + 124 + 0 + 536 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61240537) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 104035 + ... + 104621.

It is an arithmetic number, because the mean of its divisors is an integer number (1280664).

Almost surely, 261240536 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 61240536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102453120).

61240536 is an abundant number, since it is smaller than the sum of its proper divisors (143665704).

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

61240536 is a wasteful number, since it uses less digits than its factorization.

61240536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 61240536 is about 7825.6332651102. The cubic root of 61240536 is about 394.1664546144.

It can be divided in two parts, 61240 and 536, that added together give a triangular number (61776 = T351).

The spelling of 61240536 in words is "sixty-one million, two hundred forty thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 27 28 36 42 46 54 56 63 69 72 81 84 92 108 126 138 161 162 168 184 189 207 216 252 276 322 324 378 414 483 504 552 567 587 621 644 648 756 828 966 1134 1174 1242 1288 1449 1512 1656 1761 1863 1932 2268 2348 2484 2898 3522 3726 3864 4109 4347 4536 4696 4968 5283 5796 7044 7452 8218 8694 10566 11592 12327 13041 13501 14088 14904 15849 16436 17388 21132 24654 26082 27002 31698 32872 34776 36981 40503 42264 47547 49308 52164 54004 63396 73962 81006 94507 95094 98616 104328 108008 110943 121509 126792 147924 162012 189014 190188 221886 243018 283521 295848 324024 332829 364527 378028 380376 443772 486036 567042 665658 729054 756056 850563 887544 972072 1093581 1134084 1331316 1458108 1701126 2187162 2268168 2551689 2662632 2916216 3402252 4374324 5103378 6804504 7655067 8748648 10206756 15310134 20413512 30620268 61240536