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140089140 = 223252947571
BaseRepresentation
bin10000101100110…
…01011100110100
3100202121021011200
420112121130310
5241330323030
621522332500
73320511102
oct1026313464
9322537150
10140089140
1172093054
123aaba130
132303baa9
1414868c72
15c472d60
hex8599734

140089140 has 144 divisors (see below), whose sum is σ = 449729280. Its totient is φ = 35239680.

The previous prime is 140089139. The next prime is 140089171. The reversal of 140089140 is 41980041.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 245055 + ... + 245625.

It is an arithmetic number, because the mean of its divisors is an integer number (3123120).

Almost surely, 2140089140 is an apocalyptic number.

140089140 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 140089140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224864640).

140089140 is an abundant number, since it is smaller than the sum of its proper divisors (309640140).

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

140089140 is a wasteful number, since it uses less digits than its factorization.

140089140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 140089140 is about 11835.9258193012. The cubic root of 140089140 is about 519.3595913096.

The spelling of 140089140 in words is "one hundred forty million, eighty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 47 58 60 87 90 94 116 141 145 174 180 188 235 261 282 290 348 423 435 470 522 564 571 580 705 846 870 940 1044 1142 1305 1363 1410 1692 1713 1740 2115 2284 2610 2726 2820 2855 3426 4089 4230 5139 5220 5452 5710 6815 6852 8178 8460 8565 10278 11420 12267 13630 16356 16559 17130 20445 20556 24534 25695 26837 27260 33118 34260 40890 49068 49677 51390 53674 61335 66236 80511 81780 82795 99354 102780 107348 122670 134185 149031 161022 165590 198708 241533 245340 248385 268370 298062 322044 331180 402555 483066 496770 536740 596124 745155 778273 805110 966132 993540 1207665 1490310 1556546 1610220 2334819 2415330 2980620 3113092 3891365 4669638 4830660 7004457 7782730 9339276 11674095 14008914 15565460 23348190 28017828 35022285 46696380 70044570 140089140