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61370064 = 24327107569
BaseRepresentation
bin1110101000011…
…0111011010000
311021110220220100
43222012323100
5111202320224
610031212400
71343431320
oct352067320
9137426810
1061370064
1131707268
1218677100
13c939762
148217280
1555c3ac9
hex3a86ed0

61370064 has 120 divisors (see below), whose sum is σ = 198469440. Its totient is φ = 17339904.

The previous prime is 61370053. The next prime is 61370069. The reversal of 61370064 is 46007316.

61370064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61370069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107572 + ... + 108140.

It is an arithmetic number, because the mean of its divisors is an integer number (1653912).

Almost surely, 261370064 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 61370064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99234720).

61370064 is an abundant number, since it is smaller than the sum of its proper divisors (137099376).

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

61370064 is a wasteful number, since it uses less digits than its factorization.

61370064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 61370064 is about 7833.9047734830. The cubic root of 61370064 is about 394.4441554246. Note that the first 3 decimals are identical.

The spelling of 61370064 in words is "sixty-one million, three hundred seventy thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 107 112 126 144 168 214 252 321 336 428 504 569 642 749 856 963 1008 1138 1284 1498 1707 1712 1926 2247 2276 2568 2996 3414 3852 3983 4494 4552 5121 5136 5992 6741 6828 7704 7966 8988 9104 10242 11949 11984 13482 13656 15408 15932 17976 20484 23898 26964 27312 31864 35847 35952 40968 47796 53928 60883 63728 71694 81936 95592 107856 121766 143388 182649 191184 243532 286776 365298 426181 487064 547947 573552 730596 852362 974128 1095894 1278543 1461192 1704724 2191788 2557086 2922384 3409448 3835629 4383576 5114172 6818896 7671258 8767152 10228344 15342516 20456688 30685032 61370064