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141026064 = 24323139919
BaseRepresentation
bin10000110011111…
…10001100010000
3100211100212101120
420121332030100
5242100313224
621554402240
73331462464
oct1031761420
9324325346
10141026064
1172672a73
123b290380
13232a939a
1414a304a4
15c5aa779
hex867e310

141026064 has 80 divisors (see below), whose sum is σ = 383308800. Its totient is φ = 44592768.

The previous prime is 141026059. The next prime is 141026071. The reversal of 141026064 is 460620141.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152997 + ... + 153915.

It is an arithmetic number, because the mean of its divisors is an integer number (4791360).

Almost surely, 2141026064 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 141026064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191654400).

141026064 is an abundant number, since it is smaller than the sum of its proper divisors (242282736).

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

141026064 is a wasteful number, since it uses less digits than its factorization.

141026064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 141026064 is about 11875.4395287080. The cubic root of 141026064 is about 520.5148549624.

The spelling of 141026064 in words is "one hundred forty-one million, twenty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 139 184 276 278 368 417 552 556 834 919 1104 1112 1668 1838 2224 2757 3197 3336 3676 5514 6394 6672 7352 9591 11028 12788 14704 19182 21137 22056 25576 38364 42274 44112 51152 63411 76728 84548 126822 127741 153456 169096 253644 255482 338192 383223 507288 510964 766446 1014576 1021928 1532892 2043856 2938043 3065784 5876086 6131568 8814129 11752172 17628258 23504344 35256516 47008688 70513032 141026064