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140401296 = 24337291601
BaseRepresentation
bin10000101111001…
…01101010010000
3100210012010101000
420113211222100
5241420320141
621533142000
73323251140
oct1027455220
9323163330
10140401296
1172286632
123b02a900
132311abb9
141490a920
15c4d55b6
hex85e5a90

140401296 has 160 divisors (see below), whose sum is σ = 476755200. Its totient is φ = 38707200.

The previous prime is 140401291. The next prime is 140401301. The reversal of 140401296 is 692104041.

It is an interprime number because it is at equal distance from previous prime (140401291) and next prime (140401301).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (140401291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86896 + ... + 88496.

It is an arithmetic number, because the mean of its divisors is an integer number (2979720).

Almost surely, 2140401296 is an apocalyptic number.

140401296 is a gapful number since it is divisible by the number (16) 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 140401296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238377600).

140401296 is an abundant number, since it is smaller than the sum of its proper divisors (336353904).

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

140401296 is a wasteful number, since it uses less digits than its factorization.

140401296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 140401296 is about 11849.1052826785. The cubic root of 140401296 is about 519.7450624103.

The spelling of 140401296 in words is "one hundred forty million, four hundred one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 29 36 42 48 54 56 58 63 72 84 87 108 112 116 126 144 168 174 189 203 216 232 252 261 336 348 378 406 432 464 504 522 609 696 756 783 812 1008 1044 1218 1392 1512 1566 1601 1624 1827 2088 2436 3024 3132 3202 3248 3654 4176 4803 4872 5481 6264 6404 7308 9606 9744 10962 11207 12528 12808 14409 14616 19212 21924 22414 25616 28818 29232 33621 38424 43227 43848 44828 46429 57636 67242 76848 86454 87696 89656 92858 100863 115272 134484 139287 172908 179312 185716 201726 230544 268968 278574 302589 325003 345816 371432 403452 417861 537936 557148 605178 650006 691632 742864 806904 835722 975009 1114296 1210356 1253583 1300012 1613808 1671444 1950018 2228592 2420712 2507166 2600024 2925027 3342888 3900036 4841424 5014332 5200048 5850054 6685776 7800072 8775081 10028664 11700108 15600144 17550162 20057328 23400216 35100324 46800432 70200648 140401296