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114677248 = 2973653
BaseRepresentation
bin1101101010111…
…01011000000000
321222210012121111
412311131120000
5213324132443
615213533104
72561512000
oct665353000
9258705544
10114677248
1159806794
12324a4194
131a9b227a
1411332000
15a10369d
hex6d5d600

114677248 has 80 divisors (see below), whose sum is σ = 267616800. Its totient is φ = 49072128.

The previous prime is 114677239. The next prime is 114677261. The reversal of 114677248 is 842776411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 114677248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175290 + ... + 175942.

It is an arithmetic number, because the mean of its divisors is an integer number (3345210).

Almost surely, 2114677248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114677248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133808400).

114677248 is an abundant number, since it is smaller than the sum of its proper divisors (152939552).

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

114677248 is an frugal number, since it uses more digits than its factorization.

114677248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 662 counting only the distinct ones).

The product of its digits is 75264, while the sum is 40.

The square root of 114677248 is about 10708.7463318542. The cubic root of 114677248 is about 485.8390520808.

The spelling of 114677248 in words is "one hundred fourteen million, six hundred seventy-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 512 653 686 784 896 1306 1372 1568 1792 2612 2744 3136 3584 4571 5224 5488 6272 9142 10448 10976 12544 18284 20896 21952 25088 31997 36568 41792 43904 63994 73136 83584 87808 127988 146272 167168 175616 223979 255976 292544 334336 447958 511952 585088 895916 1023904 1170176 1791832 2047808 2340352 3583664 4095616 7167328 8191232 14334656 16382464 28669312 57338624 114677248