Search a number
-
+
114951648 = 253733491
BaseRepresentation
bin1101101101000…
…00010111100000
322000022011000110
412312200113200
5213411423043
615223451320
72564034000
oct666402740
9260264013
10114951648
1159983969
12325b6b40
131aa7a136
14113a4000
15a159b33
hex6da05e0

114951648 has 96 divisors (see below), whose sum is σ = 351993600. Its totient is φ = 32833920.

The previous prime is 114951607. The next prime is 114951701. The reversal of 114951648 is 846159411.

It is a tau number, because it is divible by the number of its divisors (96).

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, 31183 + ... + 34673.

It is an arithmetic number, because the mean of its divisors is an integer number (3666600).

Almost surely, 2114951648 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 114951648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175996800).

114951648 is an abundant number, since it is smaller than the sum of its proper divisors (237041952).

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

114951648 is an equidigital number, since it uses as much as digits as its factorization.

114951648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3525 (or 3503 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

The square root of 114951648 is about 10721.5506341200. The cubic root of 114951648 is about 486.2262490409.

The spelling of 114951648 in words is "one hundred fourteen million, nine hundred fifty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 343 392 588 672 686 784 1029 1176 1372 1568 2058 2352 2744 3491 4116 4704 5488 6982 8232 10473 10976 13964 16464 20946 24437 27928 32928 41892 48874 55856 73311 83784 97748 111712 146622 167568 171059 195496 293244 335136 342118 390992 513177 586488 684236 781984 1026354 1172976 1197413 1368472 2052708 2345952 2394826 2736944 3592239 4105416 4789652 5473888 7184478 8210832 9579304 14368956 16421664 19158608 28737912 38317216 57475824 114951648