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140520420 = 22345127683
BaseRepresentation
bin10000110000000…
…10101111100100
3100210102011210000
420120002233210
5241433123140
621535501300
73324255345
oct1030025744
9323364700
10140520420
1172358087
123b087830
13231601a1
141493c0cc
15c50aa30
hex8602be4

140520420 has 120 divisors (see below), whose sum is σ = 444939264. Its totient is φ = 37122624.

The previous prime is 140520397. The next prime is 140520421. The reversal of 140520420 is 24025041.

140520420 is a `hidden beast` number, since 140 + 520 + 4 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 140520393 and 140520402.

It is not an unprimeable number, because it can be changed into a prime (140520421) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 205399 + ... + 206081.

Almost surely, 2140520420 is an apocalyptic number.

140520420 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 140520420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222469632).

140520420 is an abundant number, since it is smaller than the sum of its proper divisors (304418844).

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

140520420 is a wasteful number, since it uses less digits than its factorization.

140520420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 140520420 is about 11854.1309255466. The cubic root of 140520420 is about 519.8920140658.

Adding to 140520420 its reverse (24025041), we get a palindrome (164545461).

The spelling of 140520420 in words is "one hundred forty million, five hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 127 135 162 180 254 270 324 381 405 508 540 635 683 762 810 1143 1270 1366 1524 1620 1905 2049 2286 2540 2732 3415 3429 3810 4098 4572 5715 6147 6830 6858 7620 8196 10245 10287 11430 12294 13660 13716 17145 18441 20490 20574 22860 24588 30735 34290 36882 40980 41148 51435 55323 61470 68580 73764 86741 92205 102870 110646 122940 173482 184410 205740 221292 260223 276615 346964 368820 433705 520446 553230 780669 867410 1040892 1106460 1301115 1561338 1734820 2342007 2602230 3122676 3903345 4684014 5204460 7026021 7806690 9368028 11710035 14052042 15613380 23420070 28104084 35130105 46840140 70260210 140520420