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140249952 = 25322331683
BaseRepresentation
bin10000101110000…
…00101101100000
3100202220102202200
420113000231200
5241400444302
621530013200
73322050663
oct1027005540
9322812680
10140249952
1172192957
123ab77200
132309704b
14148ab6da
15c4a581c
hex85c0b60

140249952 has 144 divisors (see below), whose sum is σ = 430230528. Its totient is φ = 43211520.

The previous prime is 140249951. The next prime is 140249959. The reversal of 140249952 is 259942041.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140249951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205003 + ... + 205685.

It is an arithmetic number, because the mean of its divisors is an integer number (2987712).

Almost surely, 2140249952 is an apocalyptic number.

140249952 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 140249952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215115264).

140249952 is an abundant number, since it is smaller than the sum of its proper divisors (289980576).

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

140249952 is a wasteful number, since it uses less digits than its factorization.

140249952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 140249952 is about 11842.7172557652. The cubic root of 140249952 is about 519.5582441506.

The spelling of 140249952 in words is "one hundred forty million, two hundred forty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 31 32 36 46 48 62 69 72 92 93 96 124 138 144 184 186 207 248 276 279 288 368 372 414 496 552 558 683 713 736 744 828 992 1104 1116 1366 1426 1488 1656 2049 2139 2208 2232 2732 2852 2976 3312 4098 4278 4464 5464 5704 6147 6417 6624 8196 8556 8928 10928 11408 12294 12834 15709 16392 17112 21173 21856 22816 24588 25668 31418 32784 34224 42346 47127 49176 51336 62836 63519 65568 68448 84692 94254 98352 102672 125672 127038 141381 169384 188508 190557 196704 205344 251344 254076 282762 338768 377016 381114 486979 502688 508152 565524 677536 754032 762228 973958 1016304 1131048 1460937 1508064 1524456 1947916 2032608 2262096 2921874 3048912 3895832 4382811 4524192 5843748 6097824 7791664 8765622 11687496 15583328 17531244 23374992 35062488 46749984 70124976 140249952