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61010144 = 2513178627
BaseRepresentation
bin1110100010111…
…1000011100000
311020210122011222
43220233003200
5111104311034
610015354212
71340402066
oct350570340
9136718158
1061010144
1131490908
1218522968
13c8419a0
148162036
15555212e
hex3a2f0e0

61010144 has 48 divisors (see below), whose sum is σ = 136978128. Its totient is φ = 26499072.

The previous prime is 61010141. The next prime is 61010149. The reversal of 61010144 is 44101016.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61010141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2759 + ... + 11385.

It is an arithmetic number, because the mean of its divisors is an integer number (2853711).

Almost surely, 261010144 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 61010144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68489064).

61010144 is an abundant number, since it is smaller than the sum of its proper divisors (75967984).

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

61010144 is a wasteful number, since it uses less digits than its factorization.

61010144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8667 (or 8659 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 61010144 is about 7810.8990519658. The cubic root of 61010144 is about 393.6715377715.

The spelling of 61010144 in words is "sixty-one million, ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1768 3536 7072 8627 17254 34508 69016 112151 138032 146659 224302 276064 293318 448604 586636 897208 1173272 1794416 1906567 2346544 3588832 3813134 4693088 7626268 15252536 30505072 61010144