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120431400 = 233521711807
BaseRepresentation
bin1110010110110…
…10001100101000
322101121112211020
413023122030220
5221312301100
615541132440
72661435645
oct713321450
9271545736
10120431400
1161a86991
12343ba120
131bc483ab
1411dccdcc
15a88d5a0
hex72da328

120431400 has 96 divisors (see below), whose sum is σ = 395331840. Its totient is φ = 30223360.

The previous prime is 120431359. The next prime is 120431413. The reversal of 120431400 is 4134021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120431400.

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 23 ways as a sum of consecutive naturals, for example, 4297 + ... + 16103.

It is an arithmetic number, because the mean of its divisors is an integer number (4118040).

Almost surely, 2120431400 is an apocalyptic number.

120431400 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 120431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197665920).

120431400 is an abundant number, since it is smaller than the sum of its proper divisors (274900440).

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

120431400 is a wasteful number, since it uses less digits than its factorization.

120431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11843 (or 11834 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 120431400 is about 10974.1241108345. The cubic root of 120431400 is about 493.8327768070.

Adding to 120431400 its reverse (4134021), we get a palindrome (124565421).

The spelling of 120431400 in words is "one hundred twenty million, four hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1700 2040 2550 3400 5100 10200 11807 23614 35421 47228 59035 70842 94456 118070 141684 177105 200719 236140 283368 295175 354210 401438 472280 590350 602157 708420 802876 885525 1003595 1180700 1204314 1416840 1605752 1771050 2007190 2361400 2408628 3010785 3542100 4014380 4817256 5017975 6021570 7084200 8028760 10035950 12043140 15053925 20071900 24086280 30107850 40143800 60215700 120431400