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140217384 = 23323389653
BaseRepresentation
bin10000101101110…
…00110000101000
3100202211210002110
420112320300220
5241343424014
621525202320
73321554016
oct1026706050
9322753073
10140217384
117217043a
123ab603a0
1323085288
141489d8b6
15c49ad59
hex85b8c28

140217384 has 64 divisors (see below), whose sum is σ = 367286400. Its totient is φ = 44523776.

The previous prime is 140217379. The next prime is 140217409. The reversal of 140217384 is 483712041.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214402 + ... + 215054.

It is an arithmetic number, because the mean of its divisors is an integer number (5738850).

Almost surely, 2140217384 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 140217384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183643200).

140217384 is an abundant number, since it is smaller than the sum of its proper divisors (227069016).

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

140217384 is a wasteful number, since it uses less digits than its factorization.

140217384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 140217384 is about 11841.3421536581. The cubic root of 140217384 is about 519.5180248075.

The spelling of 140217384 in words is "one hundred forty million, two hundred seventeen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 389 552 653 778 1167 1306 1556 1959 2334 2612 3112 3918 4668 5224 7836 8947 9336 15019 15672 17894 26841 30038 35788 45057 53682 60076 71576 90114 107364 120152 180228 214728 254017 360456 508034 762051 1016068 1524102 2032136 3048204 5842391 6096408 11684782 17527173 23369564 35054346 46739128 70108692 140217384