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120238480 = 24523101647
BaseRepresentation
bin1110010101010…
…11000110010000
322101020202012001
413022223012100
5221240112410
615533043344
72660003335
oct712530620
9271222161
10120238480
1161964a4a
1234326554
131bbab63b
1411d7c98c
15a85133a
hex72ab190

120238480 has 80 divisors (see below), whose sum is σ = 295052544. Its totient is φ = 45478400.

The previous prime is 120238477. The next prime is 120238483. The reversal of 120238480 is 84832021.

It is an interprime number because it is at equal distance from previous prime (120238477) and next prime (120238483).

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

It is not an unprimeable number, because it can be changed into a prime (120238483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185517 + ... + 186163.

Almost surely, 2120238480 is an apocalyptic number.

120238480 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 120238480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147526272).

120238480 is an abundant number, since it is smaller than the sum of its proper divisors (174814064).

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

120238480 is a wasteful number, since it uses less digits than its factorization.

With its successor (120238481) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (784).

120238480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 120238480 is about 10965.3308203629. The cubic root of 120238480 is about 493.5689443514.

It can be divided in two parts, 12023 and 8480, that added together give a triangular number (20503 = T202).

The spelling of 120238480 in words is "one hundred twenty million, two hundred thirty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 101 115 184 202 230 368 404 460 505 647 808 920 1010 1294 1616 1840 2020 2323 2588 3235 4040 4646 5176 6470 8080 9292 10352 11615 12940 14881 18584 23230 25880 29762 37168 46460 51760 59524 65347 74405 92920 119048 130694 148810 185840 238096 261388 297620 326735 522776 595240 653470 1045552 1190480 1306940 1502981 2613880 3005962 5227760 6011924 7514905 12023848 15029810 24047696 30059620 60119240 120238480