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140140460 = 225313741149
BaseRepresentation
bin10000101101001…
…01111110101100
3100202200212120102
420112211332230
5241333443320
621523410232
73321113525
oct1026457654
9322625512
10140140460
1172118669
123ab23978
1323059265
141487d84c
15c483175
hex85a5fac

140140460 has 96 divisors (see below), whose sum is σ = 321753600. Its totient is φ = 51148800.

The previous prime is 140140411. The next prime is 140140463. The reversal of 140140460 is 64041041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (140140463) 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, 940466 + ... + 940614.

It is an arithmetic number, because the mean of its divisors is an integer number (3351600).

Almost surely, 2140140460 is an apocalyptic number.

140140460 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 140140460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160876800).

140140460 is an abundant number, since it is smaller than the sum of its proper divisors (181613140).

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

140140460 is a wasteful number, since it uses less digits than its factorization.

140140460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 140140460 is about 11838.0935965214. The cubic root of 140140460 is about 519.4230039818.

The spelling of 140140460 in words is "one hundred forty million, one hundred forty thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 31 37 41 62 74 82 124 148 149 155 164 185 205 298 310 370 410 596 620 740 745 820 1147 1271 1490 1517 2294 2542 2980 3034 4588 4619 5084 5513 5735 6068 6109 6355 7585 9238 11026 11470 12218 12710 15170 18476 22052 22940 23095 24436 25420 27565 30340 30545 46190 47027 55130 61090 92380 94054 110260 122180 170903 188108 189379 226033 235135 341806 378758 452066 470270 683612 757516 854515 904132 940540 946895 1130165 1709030 1893790 2260330 3418060 3787580 4520660 7007023 14014046 28028092 35035115 70070230 140140460