Search a number
-
+
2720952 = 2334131719
BaseRepresentation
bin1010011000010010111000
312010020110000
422120102320
51144032302
6134153000
732061543
oct12302270
95106400
102720952
111599323
12ab2760
13743640
1450b85a
1538b31c
hex2984b8

2720952 has 160 divisors (see below), whose sum is σ = 9147600. Its totient is φ = 746496.

The previous prime is 2720917. The next prime is 2720953. The reversal of 2720952 is 2590272.

It is a happy number.

2720952 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2720953) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 143199 + ... + 143217.

22720952 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 2720952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4573800).

2720952 is an abundant number, since it is smaller than the sum of its proper divisors (6426648).

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

2720952 is a wasteful number, since it uses less digits than its factorization.

2720952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2720952 is about 1649.5308423913. The cubic root of 2720952 is about 139.6069246133.

It can be divided in two parts, 27209 and 52, that added together give a triangular number (27261 = T233).

The spelling of 2720952 in words is "two million, seven hundred twenty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 19 24 26 27 34 36 38 39 51 52 54 57 68 72 76 78 81 102 104 108 114 117 136 152 153 156 162 171 204 216 221 228 234 247 306 312 323 324 342 351 408 442 456 459 468 494 513 612 646 648 663 684 702 741 884 918 936 969 988 1026 1053 1224 1292 1326 1368 1377 1404 1482 1539 1768 1836 1938 1976 1989 2052 2106 2223 2584 2652 2754 2808 2907 2964 3078 3672 3876 3978 4104 4199 4212 4446 5304 5508 5814 5928 5967 6156 6669 7752 7956 8398 8424 8721 8892 11016 11628 11934 12312 12597 13338 15912 16796 17442 17784 17901 20007 23256 23868 25194 26163 26676 33592 34884 35802 37791 40014 47736 50388 52326 53352 69768 71604 75582 80028 100776 104652 113373 143208 151164 160056 209304 226746 302328 340119 453492 680238 906984 1360476 2720952