Search a number
-
+
101379460 = 225713531051
BaseRepresentation
bin1100000101011…
…10110110000100
321001202121110211
412002232312010
5201423120320
614020525204
72340465640
oct602566604
9231677424
10101379460
1152253986
1229b50804
1318007660
14d66dc20
158d7855a
hex60aed84

101379460 has 96 divisors (see below), whose sum is σ = 267224832. Its totient is φ = 31449600.

The previous prime is 101379427. The next prime is 101379463. The reversal of 101379460 is 64973101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101379463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95935 + ... + 96985.

It is an arithmetic number, because the mean of its divisors is an integer number (2783592).

Almost surely, 2101379460 is an apocalyptic number.

101379460 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 101379460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133612416).

101379460 is an abundant number, since it is smaller than the sum of its proper divisors (165845372).

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

101379460 is a wasteful number, since it uses less digits than its factorization.

101379460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 101379460 is about 10068.7367628715. The cubic root of 101379460 is about 466.2834393476.

The spelling of 101379460 in words is "one hundred one million, three hundred seventy-nine thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 53 65 70 91 106 130 140 182 212 260 265 364 371 455 530 689 742 910 1051 1060 1378 1484 1820 1855 2102 2756 3445 3710 4204 4823 5255 6890 7357 7420 9646 10510 13663 13780 14714 19292 21020 24115 27326 29428 36785 48230 54652 55703 68315 73570 95641 96460 111406 136630 147140 191282 222812 273260 278515 382564 389921 478205 557030 724139 779842 956410 1114060 1448278 1559684 1912820 1949605 2896556 3620695 3899210 5068973 7241390 7798420 10137946 14482780 20275892 25344865 50689730 101379460