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140520900 = 2235213137263
BaseRepresentation
bin10000110000000…
…10110111000100
3100210102012102210
420120002313010
5241433132100
621535503420
73324256632
oct1030026704
9323365383
10140520900
1172358483
123b087b70
1323160480
141493c352
15c50ac50
hex8602dc4

140520900 has 144 divisors (see below), whose sum is σ = 442721664. Its totient is φ = 34206720.

The previous prime is 140520889. The next prime is 140520911. The reversal of 140520900 is 9025041.

It is an interprime number because it is at equal distance from previous prime (140520889) and next prime (140520911).

It is a super-2 number, since 2×1405209002 = 39492246673620000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 534169 + ... + 534431.

It is an arithmetic number, because the mean of its divisors is an integer number (3074456).

Almost surely, 2140520900 is an apocalyptic number.

140520900 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 140520900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221360832).

140520900 is an abundant number, since it is smaller than the sum of its proper divisors (302200764).

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

140520900 is a wasteful number, since it uses less digits than its factorization.

140520900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 140520900 is about 11854.1511716360. The cubic root of 140520900 is about 519.8926060269.

Adding to 140520900 its reverse (9025041), we get a palindrome (149545941).

The spelling of 140520900 in words is "one hundred forty million, five hundred twenty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 137 150 156 195 260 263 274 300 325 390 411 526 548 650 685 780 789 822 975 1052 1300 1315 1370 1578 1644 1781 1950 2055 2630 2740 3156 3419 3425 3562 3900 3945 4110 5260 5343 6575 6838 6850 7124 7890 8220 8905 10257 10275 10686 13150 13676 13700 15780 17095 17810 19725 20514 20550 21372 26300 26715 34190 35620 36031 39450 41028 41100 44525 51285 53430 68380 72062 78900 85475 89050 102570 106860 108093 133575 144124 170950 178100 180155 205140 216186 256425 267150 341900 360310 432372 468403 512850 534300 540465 720620 900775 936806 1025700 1080930 1405209 1801550 1873612 2161860 2342015 2702325 2810418 3603100 4684030 5404650 5620836 7026045 9368060 10809300 11710075 14052090 23420150 28104180 35130225 46840300 70260450 140520900