Search a number
-
+
70126368 = 2531383677
BaseRepresentation
bin1000010111000…
…00101100100000
311212221210021220
410023200230200
5120423020433
610543015040
71511031024
oct413405440
9155853256
1070126368
1136647a84
121b59a480
13116b41c0
149456384
1562532b3
hex42e0b20

70126368 has 96 divisors (see below), whose sum is σ = 200926656. Its totient is φ = 21285888.

The previous prime is 70126361. The next prime is 70126439. The reversal of 70126368 is 86362107.

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

It is not an unprimeable number, because it can be changed into a prime (70126361) 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, 103246 + ... + 103922.

It is an arithmetic number, because the mean of its divisors is an integer number (2092986).

Almost surely, 270126368 is an apocalyptic number.

70126368 is a gapful number since it is divisible by the number (78) 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 70126368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100463328).

70126368 is an abundant number, since it is smaller than the sum of its proper divisors (130800288).

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

70126368 is a wasteful number, since it uses less digits than its factorization.

70126368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 70126368 is about 8374.1487925639. The cubic root of 70126368 is about 412.3763802203.

The spelling of 70126368 in words is "seventy million, one hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 83 96 104 156 166 208 249 312 332 416 498 624 664 677 996 1079 1248 1328 1354 1992 2031 2158 2656 2708 3237 3984 4062 4316 5416 6474 7968 8124 8632 8801 10832 12948 16248 17264 17602 21664 25896 26403 32496 34528 35204 51792 52806 56191 64992 70408 103584 105612 112382 140816 168573 211224 224764 281632 337146 422448 449528 674292 730483 844896 899056 1348584 1460966 1798112 2191449 2697168 2921932 4382898 5394336 5843864 8765796 11687728 17531592 23375456 35063184 70126368