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140890112 = 212115359
BaseRepresentation
bin10000110010111…
…01000000000000
3100211002221220022
420121131000000
5242031440422
621551433012
73330355226
oct1031350000
9324087808
10140890112
117258a910
123b225768
132325c53c
14149d6b16
15c580342
hex865d000

140890112 has 104 divisors (see below), whose sum is σ = 318466080. Its totient is φ = 61767680.

The previous prime is 140890069. The next prime is 140890121. The reversal of 140890112 is 211098041.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2387939 + ... + 2387997.

Almost surely, 2140890112 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 140890112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159233040).

140890112 is an abundant number, since it is smaller than the sum of its proper divisors (177575968).

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

140890112 is an equidigital number, since it uses as much as digits as its factorization.

140890112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 140890112 is about 11869.7140656378. The cubic root of 140890112 is about 520.3475388759.

It can be divided in two parts, 1408 and 90112, that multiplied together give a square (126877696 = 112642).

The spelling of 140890112 in words is "one hundred forty million, eight hundred ninety thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 53 59 64 88 106 118 128 176 212 236 256 352 424 472 512 583 649 704 848 944 1024 1166 1298 1408 1696 1888 2048 2332 2596 2816 3127 3392 3776 4096 4664 5192 5632 6254 6784 7552 9328 10384 11264 12508 13568 15104 18656 20768 22528 25016 27136 30208 34397 37312 41536 45056 50032 54272 60416 68794 74624 83072 100064 108544 120832 137588 149248 166144 200128 217088 241664 275176 298496 332288 400256 550352 596992 664576 800512 1100704 1193984 1329152 1601024 2201408 2387968 2658304 3202048 4402816 6404096 8805632 12808192 17611264 35222528 70445056 140890112