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140661120 = 2735611201
BaseRepresentation
bin10000110001001…
…01000110000000
3100210200022210010
420120211012000
5242002123440
621542504520
73325412505
oct1030450600
9323608703
10140661120
1172443866
123b135140
13231ac242
14149774ac
15c537580
hex8625180

140661120 has 128 divisors (see below), whose sum is σ = 456086880. Its totient is φ = 36864000.

The previous prime is 140661097. The next prime is 140661137. The reversal of 140661120 is 21166041.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (21) 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 15 ways as a sum of consecutive naturals, for example, 116520 + ... + 117720.

Almost surely, 2140661120 is an apocalyptic number.

140661120 is a gapful number since it is divisible by the number (10) 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 140661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228043440).

140661120 is an abundant number, since it is smaller than the sum of its proper divisors (315425760).

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

140661120 is a wasteful number, since it uses less digits than its factorization.

140661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 140661120 is about 11860.0640807712. The cubic root of 140661120 is about 520.0654749902.

It can be divided in two parts, 1406 and 61120, that added together give a palindrome (62526).

The spelling of 140661120 in words is "one hundred forty million, six hundred sixty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 120 122 128 160 183 192 240 244 305 320 366 384 480 488 610 640 732 915 960 976 1201 1220 1464 1830 1920 1952 2402 2440 2928 3603 3660 3904 4804 4880 5856 6005 7206 7320 7808 9608 9760 11712 12010 14412 14640 18015 19216 19520 23424 24020 28824 29280 36030 38432 39040 48040 57648 58560 72060 73261 76864 96080 115296 117120 144120 146522 153728 192160 219783 230592 288240 293044 366305 384320 439566 461184 576480 586088 732610 768640 879132 1098915 1152960 1172176 1465220 1758264 2197830 2305920 2344352 2930440 3516528 4395660 4688704 5860880 7033056 8791320 9377408 11721760 14066112 17582640 23443520 28132224 35165280 46887040 70330560 140661120