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114012480 = 26351131051
BaseRepresentation
bin1101100101110…
…11000101000000
321221112102201110
412302323011000
5213141344410
615151403320
72553042621
oct662730500
9257472643
10114012480
11593a229a
1232223540
131a80b80a
14111dba48
15a021720
hex6cbb140

114012480 has 112 divisors (see below), whose sum is σ = 365540544. Its totient is φ = 30105600.

The previous prime is 114012463. The next prime is 114012491. The reversal of 114012480 is 84210411.

It is a happy number.

It is a congruent number.

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, 107955 + ... + 109005.

Almost surely, 2114012480 is an apocalyptic number.

114012480 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 114012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182770272).

114012480 is an abundant number, since it is smaller than the sum of its proper divisors (251528064).

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

114012480 is a wasteful number, since it uses less digits than its factorization.

114012480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 114012480 is about 10677.6626655837. The cubic root of 114012480 is about 484.8984518327.

Adding to 114012480 its reverse (84210411), we get a palindrome (198222891).

The spelling of 114012480 in words is "one hundred fourteen million, twelve thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 113 120 160 192 226 240 320 339 452 480 565 678 904 960 1051 1130 1356 1695 1808 2102 2260 2712 3153 3390 3616 4204 4520 5255 5424 6306 6780 7232 8408 9040 10510 10848 12612 13560 15765 16816 18080 21020 21696 25224 27120 31530 33632 36160 42040 50448 54240 63060 67264 84080 100896 108480 118763 126120 168160 201792 237526 252240 336320 356289 475052 504480 593815 712578 950104 1008960 1187630 1425156 1781445 1900208 2375260 2850312 3562890 3800416 4750520 5700624 7125780 7600832 9501040 11401248 14251560 19002080 22802496 28503120 38004160 57006240 114012480