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140419692 = 223272233461
BaseRepresentation
bin10000101111010…
…10001001101100
3100210020001121100
420113222021230
5241421412232
621533403100
73323355600
oct1027521154
9323201540
10140419692
1172299436
123b039490
132312639a
1414913500
15c4dac7c
hex85ea26c

140419692 has 108 divisors (see below), whose sum is σ = 430977456. Its totient is φ = 38364480.

The previous prime is 140419687. The next prime is 140419693. The reversal of 140419692 is 296914041.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (140419693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38842 + ... + 42302.

It is an arithmetic number, because the mean of its divisors is an integer number (3990532).

Almost surely, 2140419692 is an apocalyptic number.

140419692 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 140419692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215488728).

140419692 is an abundant number, since it is smaller than the sum of its proper divisors (290557764).

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

140419692 is a wasteful number, since it uses less digits than its factorization.

140419692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3508 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 140419692 is about 11849.8815183950. The cubic root of 140419692 is about 519.7677611861.

The spelling of 140419692 in words is "one hundred forty million, four hundred nineteen thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 49 63 69 84 92 98 126 138 147 161 196 207 252 276 294 322 414 441 483 588 644 828 882 966 1127 1449 1764 1932 2254 2898 3381 3461 4508 5796 6762 6922 10143 10383 13524 13844 20286 20766 24227 31149 40572 41532 48454 62298 72681 79603 96908 124596 145362 159206 169589 218043 238809 290724 318412 339178 436086 477618 508767 557221 678356 716427 872172 955236 1017534 1114442 1432854 1526301 1671663 2035068 2228884 2865708 3052602 3343326 3900547 5014989 6105204 6686652 7801094 10029978 11701641 15602188 20059956 23403282 35104923 46806564 70209846 140419692