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114270960 = 24353115359
BaseRepresentation
bin1101100111110…
…10001011110000
321222000120021210
412303322023300
5213223132320
615201120120
72555200326
oct663721360
9258016253
10114270960
1159559511
1232329040
131a89c36b
1411267d16
15a0730e0
hex6cfa2f0

114270960 has 80 divisors (see below), whose sum is σ = 365690880. Its totient is φ = 29487360.

The previous prime is 114270953. The next prime is 114270967. The reversal of 114270960 is 69072411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114270953) and next prime (114270967).

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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114270967) 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, 240 + ... + 15119.

It is an arithmetic number, because the mean of its divisors is an integer number (4571136).

Almost surely, 2114270960 is an apocalyptic number.

114270960 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 114270960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182845440).

114270960 is an abundant number, since it is smaller than the sum of its proper divisors (251419920).

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

114270960 is a wasteful number, since it uses less digits than its factorization.

114270960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15406 (or 15400 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 114270960 is about 10689.7595856970. The cubic root of 114270960 is about 485.2646162891.

The spelling of 114270960 in words is "one hundred fourteen million, two hundred seventy thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 15359 30718 46077 61436 76795 92154 122872 153590 184308 230385 245744 307180 368616 460770 476129 614360 737232 921540 952258 1228720 1428387 1843080 1904516 2380645 2856774 3686160 3809032 4761290 5713548 7141935 7618064 9522580 11427096 14283870 19045160 22854192 28567740 38090320 57135480 114270960