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114851968 = 2771143271
BaseRepresentation
bin1101101100010…
…00000010000000
322000010002021121
412312020002000
5213400230333
615221402024
72563140250
oct666100200
9260102247
10114851968
1159915a90
1232569314
131aa4395a
1411379960
15a13a32d
hex6d88080

114851968 has 128 divisors (see below), whose sum is σ = 292976640. Its totient is φ = 43545600.

The previous prime is 114851939. The next prime is 114851987. The reversal of 114851968 is 869158411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (43).

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, 423673 + ... + 423943.

It is an arithmetic number, because the mean of its divisors is an integer number (2288880).

Almost surely, 2114851968 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 114851968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146488320).

114851968 is an abundant number, since it is smaller than the sum of its proper divisors (178124672).

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

114851968 is a wasteful number, since it uses less digits than its factorization.

114851968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 334 counting only the distinct ones).

The product of its digits is 69120, while the sum is 43.

The square root of 114851968 is about 10716.9010446117. The cubic root of 114851968 is about 486.0856651535.

The spelling of 114851968 in words is "one hundred fourteen million, eight hundred fifty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 43 44 56 64 77 86 88 112 128 154 172 176 224 271 301 308 344 352 448 473 542 602 616 688 704 896 946 1084 1204 1232 1376 1408 1892 1897 2168 2408 2464 2752 2981 3311 3784 3794 4336 4816 4928 5504 5962 6622 7568 7588 8672 9632 9856 11653 11924 13244 15136 15176 17344 19264 20867 23306 23848 26488 30272 30352 34688 38528 41734 46612 47696 52976 60544 60704 81571 83468 93224 95392 105952 121408 128183 163142 166936 186448 190784 211904 242816 256366 326284 333872 372896 381568 423808 512732 652568 667744 745792 897281 1025464 1305136 1335488 1491584 1794562 2050928 2610272 2670976 3589124 4101856 5220544 7178248 8203712 10441088 14356496 16407424 28712992 57425984 114851968