Search a number
-
+
2172408 = 233767193
BaseRepresentation
bin1000010010010111111000
311002100222120
420102113320
51024004113
6114321240
724315360
oct10222770
94070876
102172408
111254187
12889220
135b0a64
144079a0
152cda23
hex2125f8

2172408 has 64 divisors (see below), whose sum is σ = 6332160. Its totient is φ = 608256.

The previous prime is 2172397. The next prime is 2172427. The reversal of 2172408 is 8042712.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 11160 + ... + 11352.

It is an arithmetic number, because the mean of its divisors is an integer number (98940).

22172408 is an apocalyptic number.

2172408 is a gapful number since it is divisible by the number (28) 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 2172408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3166080).

2172408 is an abundant number, since it is smaller than the sum of its proper divisors (4159752).

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

2172408 is a wasteful number, since it uses less digits than its factorization.

2172408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 2172408 is about 1473.9090881055. The cubic root of 2172408 is about 129.5131295603.

The spelling of 2172408 in words is "two million, one hundred seventy-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 134 168 193 201 268 386 402 469 536 579 772 804 938 1158 1351 1407 1544 1608 1876 2316 2702 2814 3752 4053 4632 5404 5628 8106 10808 11256 12931 16212 25862 32424 38793 51724 77586 90517 103448 155172 181034 271551 310344 362068 543102 724136 1086204 2172408