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140054112 = 25321124019
BaseRepresentation
bin10000101100100…
…00111001100000
3100202112111010100
420112100321200
5241323212422
621521502400
73320304012
oct1026207140
9322474110
10140054112
1172069800
123aaa1a00
1323028b73
141485a1b2
15c4677ac
hex8590e60

140054112 has 108 divisors (see below), whose sum is σ = 437886540. Its totient is φ = 42430080.

The previous prime is 140054099. The next prime is 140054113. The reversal of 140054112 is 211450041.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140054113) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32839 + ... + 36857.

It is an arithmetic number, because the mean of its divisors is an integer number (4054505).

Almost surely, 2140054112 is an apocalyptic number.

140054112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140054112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218943270).

140054112 is an abundant number, since it is smaller than the sum of its proper divisors (297832428).

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

140054112 is a wasteful number, since it uses less digits than its factorization.

140054112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4057 (or 4035 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 140054112 is about 11834.4459946379. The cubic root of 140054112 is about 519.3163006728.

The spelling of 140054112 in words is "one hundred forty million, fifty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 121 132 144 176 198 242 264 288 352 363 396 484 528 726 792 968 1056 1089 1452 1584 1936 2178 2904 3168 3872 4019 4356 5808 8038 8712 11616 12057 16076 17424 24114 32152 34848 36171 44209 48228 64304 72342 88418 96456 128608 132627 144684 176836 192912 265254 289368 353672 385824 397881 486299 530508 578736 707344 795762 972598 1061016 1157472 1414688 1458897 1591524 1945196 2122032 2917794 3183048 3890392 4244064 4376691 5835588 6366096 7780784 8753382 11671176 12732192 15561568 17506764 23342352 35013528 46684704 70027056 140054112