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170990080 = 295173929
BaseRepresentation
bin10100011000100…
…01101000000000
3102220202012021221
422030101220000
5322233140310
624544524424
74144251232
oct1214215000
9386665257
10170990080
1188579418
1249320714
132956ab81
14189d0252
1510028ada
hexa311a00

170990080 has 80 divisors (see below), whose sum is σ = 434202120. Its totient is φ = 64356352.

The previous prime is 170990077. The next prime is 170990123. The reversal of 170990080 is 80099071.

It can be written as a sum of positive squares in 4 ways, for example, as 129413376 + 41576704 = 11376^2 + 6448^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41556 + ... + 45484.

Almost surely, 2170990080 is an apocalyptic number.

170990080 is a gapful number since it is divisible by the number (10) 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 170990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217101060).

170990080 is an abundant number, since it is smaller than the sum of its proper divisors (263212040).

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

170990080 is an equidigital number, since it uses as much as digits as its factorization.

170990080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3969 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 34.

The square root of 170990080 is about 13076.3175244409. The cubic root of 170990080 is about 555.0391769547.

The spelling of 170990080 in words is "one hundred seventy million, nine hundred ninety thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1088 1280 1360 2176 2560 2720 3929 4352 5440 7858 8704 10880 15716 19645 21760 31432 39290 43520 62864 66793 78580 125728 133586 157160 251456 267172 314320 333965 502912 534344 628640 667930 1005824 1068688 1257280 1335860 2011648 2137376 2514560 2671720 4274752 5029120 5343440 8549504 10058240 10686880 17099008 21373760 34198016 42747520 85495040 170990080