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172399104 = 29344157
BaseRepresentation
bin10100100011010…
…01101000000000
3110000101210010000
422101221220000
5323113232404
625035040000
74162240203
oct1221515000
9400353100
10172399104
1189350aa9
12498a0000
1329942307
1418c7993a
1510206339
hexa469a00

172399104 has 100 divisors (see below), whose sum is σ = 514689714. Its totient is φ = 57452544.

The previous prime is 172399081. The next prime is 172399133. The reversal of 172399104 is 401993271.

It can be written as a sum of positive squares in only one way, i.e., 149817600 + 22581504 = 12240^2 + 4752^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39394 + ... + 43550.

Almost surely, 2172399104 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 172399104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257344857).

172399104 is an abundant number, since it is smaller than the sum of its proper divisors (342290610).

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

172399104 is an frugal number, since it uses more digits than its factorization.

172399104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4187 (or 4162 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 172399104 is about 13130.0839296632. The cubic root of 172399104 is about 556.5595870546.

The spelling of 172399104 in words is "one hundred seventy-two million, three hundred ninety-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4157 4608 5184 6912 8314 10368 12471 13824 16628 20736 24942 33256 37413 41472 49884 66512 74826 99768 112239 133024 149652 199536 224478 266048 299304 336717 399072 448956 532096 598608 673434 798144 897912 1064192 1197216 1346868 1596288 1795824 2128384 2394432 2693736 3192576 3591648 4788864 5387472 6385152 7183296 9577728 10774944 14366592 19155456 21549888 28733184 43099776 57466368 86199552 172399104