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120214320 = 24352571949
BaseRepresentation
bin1110010101001…
…01001100110000
322101012112001020
413022211030300
5221233324240
615532335440
72656543032
oct712451460
9271175036
10120214320
1161948886
1234314580
131bba0645
1411d73c52
15a8490d0
hex72a5330

120214320 has 80 divisors (see below), whose sum is σ = 374306400. Its totient is φ = 31916032.

The previous prime is 120214319. The next prime is 120214357. The reversal of 120214320 is 23412021.

It is a tau number, because it is divible by the number of its divisors (80).

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 120214320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60706 + ... + 62654.

It is an arithmetic number, because the mean of its divisors is an integer number (4678830).

Almost surely, 2120214320 is an apocalyptic number.

120214320 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 120214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187153200).

120214320 is an abundant number, since it is smaller than the sum of its proper divisors (254092080).

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

120214320 is a wasteful number, since it uses less digits than its factorization.

120214320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222 (or 2216 counting only the distinct ones).

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

The square root of 120214320 is about 10964.2291110684. The cubic root of 120214320 is about 493.5358838745.

Adding to 120214320 its reverse (23412021), we get a palindrome (143626341).

The spelling of 120214320 in words is "one hundred twenty million, two hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 257 514 771 1028 1285 1542 1949 2056 2570 3084 3855 3898 4112 5140 5847 6168 7710 7796 9745 10280 11694 12336 15420 15592 19490 20560 23388 29235 30840 31184 38980 46776 58470 61680 77960 93552 116940 155920 233880 467760 500893 1001786 1502679 2003572 2504465 3005358 4007144 5008930 6010716 7513395 8014288 10017860 12021432 15026790 20035720 24042864 30053580 40071440 60107160 120214320