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120500204240 = 24513221434159
BaseRepresentation
bin111000000111001011…
…1110011001011010000
3102112000212101121201102
41300032113303023100
53433241023013430
6131205041323532
711464051556543
oct1601627631320
9375025347642
10120500204240
1147116250a59
121b42b3365a8
13b494a11400
145b9195285a
153203d5e345
hex1c0e5f32d0

120500204240 has 120 divisors (see below), whose sum is σ = 303586283520. Its totient is φ = 44460928512.

The previous prime is 120500204189. The next prime is 120500204261. The reversal of 120500204240 is 42402005021.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28971281 + ... + 28975439.

It is an arithmetic number, because the mean of its divisors is an integer number (2529885696).

Almost surely, 2120500204240 is an apocalyptic number.

120500204240 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 120500204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151793141760).

120500204240 is an abundant number, since it is smaller than the sum of its proper divisors (183086079280).

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

120500204240 is a wasteful number, since it uses less digits than its factorization.

120500204240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6341 (or 6322 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 120500204240 its reverse (42402005021), we get a palindrome (162902209261).

The spelling of 120500204240 in words is "one hundred twenty billion, five hundred million, two hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 520 676 845 1040 1352 1690 2143 2704 3380 4159 4286 6760 8318 8572 10715 13520 16636 17144 20795 21430 27859 33272 34288 41590 42860 54067 55718 66544 83180 85720 108134 111436 139295 166360 171440 216268 222872 270335 278590 332720 362167 432536 445744 540670 557180 702871 724334 865072 1081340 1114360 1405742 1448668 1810835 2162680 2228720 2811484 2897336 3514355 3621670 4325360 5622968 5794672 7028710 7243340 8912737 11245936 14057420 14486680 17825474 28114840 28973360 35650948 44563685 56229680 71301896 89127370 115865581 142603792 178254740 231731162 356509480 463462324 579327905 713018960 926924648 1158655810 1506252553 1853849296 2317311620 3012505106 4634623240 6025010212 7531262765 9269246480 12050020424 15062525530 24100040848 30125051060 60250102120 120500204240