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172074960 = 243252310391
BaseRepresentation
bin10100100000110…
…10011111010000
3102222210022110200
422100122133100
5323022344320
625024055200
74156420161
oct1220323720
9388708420
10172074960
118914a512
1249764500
132985a905
1418bd3768
1510190290
hexa41a7d0

172074960 has 120 divisors (see below), whose sum is σ = 603068544. Its totient is φ = 43887360.

The previous prime is 172074953. The next prime is 172074977. The reversal of 172074960 is 69470271.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11365 + ... + 21755.

Almost surely, 2172074960 is an apocalyptic number.

172074960 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 172074960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301534272).

172074960 is an abundant number, since it is smaller than the sum of its proper divisors (430993584).

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

172074960 is a wasteful number, since it uses less digits than its factorization.

172074960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10433 (or 10424 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 172074960 is about 13117.7345605101. The cubic root of 172074960 is about 556.2105546241.

The spelling of 172074960 in words is "one hundred seventy-two million, seventy-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1035 1104 1380 1656 1840 2070 2760 3312 4140 5520 8280 10391 16560 20782 31173 41564 51955 62346 83128 93519 103910 124692 155865 166256 187038 207820 238993 249384 311730 374076 415640 467595 477986 498768 623460 716979 748152 831280 935190 955972 1194965 1246920 1433958 1496304 1870380 1911944 2150937 2389930 2493840 2867916 3584895 3740760 3823888 4301874 4779860 5735832 7169790 7481520 8603748 9559720 10754685 11471664 14339580 17207496 19119440 21509370 28679160 34414992 43018740 57358320 86037480 172074960