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120421360 = 2453159823
BaseRepresentation
bin1110010110101…
…11101111110000
322101121001001101
413023113233300
5221311440420
615541014144
72661364453
oct713275760
9271531041
10120421360
1161a7a394
12343b4354
131bc43957
1411dc949a
15a88a60a
hex72d7bf0

120421360 has 80 divisors (see below), whose sum is σ = 294266880. Its totient is φ = 45768960.

The previous prime is 120421333. The next prime is 120421393. The reversal of 120421360 is 63124021.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145909 + ... + 146731.

It is an arithmetic number, because the mean of its divisors is an integer number (3678336).

Almost surely, 2120421360 is an apocalyptic number.

120421360 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 120421360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147133440).

120421360 is an abundant number, since it is smaller than the sum of its proper divisors (173845520).

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

120421360 is a wasteful number, since it uses less digits than its factorization.

120421360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 120421360 is about 10973.6666616040. Note that the first 5 decimals coincide. The cubic root of 120421360 is about 493.8190533128.

Adding to 120421360 its reverse (63124021), we get a palindrome (183545381).

It can be divided in two parts, 1 and 20421360, that added together give a square (20421361 = 45192).

The spelling of 120421360 in words is "one hundred twenty million, four hundred twenty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 40 59 62 80 118 124 155 236 248 295 310 472 496 590 620 823 944 1180 1240 1646 1829 2360 2480 3292 3658 4115 4720 6584 7316 8230 9145 13168 14632 16460 18290 25513 29264 32920 36580 48557 51026 65840 73160 97114 102052 127565 146320 194228 204104 242785 255130 388456 408208 485570 510260 776912 971140 1020520 1505267 1942280 2041040 3010534 3884560 6021068 7526335 12042136 15052670 24084272 30105340 60210680 120421360