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61106136 = 2337313571
BaseRepresentation
bin1110100100011…
…0011111011000
311020222111212020
43221012133120
5111120344021
610021414440
71341252000
oct351063730
9136874766
1061106136
1131546a43
121856a420
13c8765a0
148189000
1555707c6
hex3a467d8

61106136 has 128 divisors (see below), whose sum is σ = 192192000. Its totient is φ = 16087680.

The previous prime is 61106107. The next prime is 61106141. The reversal of 61106136 is 63160116.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 106731 + ... + 107301.

It is an arithmetic number, because the mean of its divisors is an integer number (1501500).

Almost surely, 261106136 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 61106136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96096000).

61106136 is an abundant number, since it is smaller than the sum of its proper divisors (131085864).

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

61106136 is a wasteful number, since it uses less digits than its factorization.

61106136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 61106136 is about 7817.0413840532. The cubic root of 61106136 is about 393.8778942565.

It can be divided in two parts, 6110 and 6136, that added together give a triangular number (12246 = T156).

The spelling of 61106136 in words is "sixty-one million, one hundred six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 343 364 392 546 571 588 637 686 728 1029 1092 1142 1176 1274 1372 1713 1911 2058 2184 2284 2548 2744 3426 3822 3997 4116 4459 4568 5096 6852 7423 7644 7994 8232 8918 11991 13377 13704 14846 15288 15988 17836 22269 23982 26754 27979 29692 31976 35672 44538 47964 51961 53508 55958 59384 83937 89076 95928 103922 107016 111916 155883 167874 178152 195853 207844 223832 311766 335748 363727 391706 415688 587559 623532 671496 727454 783412 1091181 1175118 1247064 1454908 1566824 2182362 2350236 2546089 2909816 4364724 4700472 5092178 7638267 8729448 10184356 15276534 20368712 30553068 61106136