Search a number
-
+
172099072 = 29437817
BaseRepresentation
bin10100100001000…
…00011000000000
3102222211112112201
422100200120000
5323024132242
625024402544
74156550365
oct1220403000
9388745481
10172099072
1189166642
1249776454
1329868892
1418bdc46c
15101974b7
hexa420600

172099072 has 40 divisors (see below), whose sum is σ = 351903816. Its totient is φ = 84037632.

The previous prime is 172099063. The next prime is 172099091. The reversal of 172099072 is 270990271.

It is a super-2 number, since 2×1720990722 = 59236181166522368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18108 + ... + 25924.

Almost surely, 2172099072 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 172099072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175951908).

172099072 is an abundant number, since it is smaller than the sum of its proper divisors (179804744).

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

172099072 is an frugal number, since it uses more digits than its factorization.

172099072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7878 (or 7862 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 37.

The square root of 172099072 is about 13118.6535894504. The cubic root of 172099072 is about 556.2365330746.

The spelling of 172099072 in words is "one hundred seventy-two million, ninety-nine thousand, seventy-two".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 512 688 1376 2752 5504 7817 11008 15634 22016 31268 62536 125072 250144 336131 500288 672262 1000576 1344524 2001152 2689048 4002304 5378096 10756192 21512384 43024768 86049536 172099072