Search a number
-
+
172301024 = 2574173257
BaseRepresentation
bin10100100010100…
…01101011100000
3110000012210120102
422101101223200
5323102113044
625033001532
74161351230
oct1221215340
9400183512
10172301024
1189294345
12498532a8
132990978c
1418c51cc0
15101d724e
hexa451ae0

172301024 has 96 divisors (see below), whose sum is σ = 404139456. Its totient is φ = 70778880.

The previous prime is 172301011. The next prime is 172301029. The reversal of 172301024 is 420103271.

It is a junction number, because it is equal to n+sod(n) for n = 172300987 and 172301005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172301029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 670304 + ... + 670560.

It is an arithmetic number, because the mean of its divisors is an integer number (4209786).

Almost surely, 2172301024 is an apocalyptic number.

172301024 is a gapful number since it is divisible by the number (14) 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 172301024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202069728).

172301024 is an abundant number, since it is smaller than the sum of its proper divisors (231838432).

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

172301024 is a wasteful number, since it uses less digits than its factorization.

172301024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 172301024 is about 13126.3484640627. The cubic root of 172301024 is about 556.4540224700.

Adding to 172301024 its reverse (420103271), we get a palindrome (592404295).

The spelling of 172301024 in words is "one hundred seventy-two million, three hundred one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 73 82 112 146 164 224 257 287 292 328 511 514 574 584 656 1022 1028 1148 1168 1312 1799 2044 2056 2296 2336 2993 3598 4088 4112 4592 5986 7196 8176 8224 9184 10537 11972 14392 16352 18761 20951 21074 23944 28784 37522 41902 42148 47888 57568 73759 75044 83804 84296 95776 131327 147518 150088 167608 168592 262654 295036 300176 335216 337184 525308 590072 600352 670432 769201 1050616 1180144 1538402 2101232 2360288 3076804 4202464 5384407 6153608 10768814 12307216 21537628 24614432 43075256 86150512 172301024