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172945980 = 223251961829
BaseRepresentation
bin10100100111011…
…11001000111100
3110001102120021200
422103233020330
5323233232410
625054455500
74200005454
oct1223571074
9401376250
10172945980
1189694969
1249b04590
1329aa41cc
1418d7cd64
15102b33c0
hexa4ef23c

172945980 has 144 divisors (see below), whose sum is σ = 561943200. Its totient is φ = 42923520.

The previous prime is 172945963. The next prime is 172945991. The reversal of 172945980 is 89549271.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208206 + ... + 209034.

Almost surely, 2172945980 is an apocalyptic number.

172945980 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 172945980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280971600).

172945980 is an abundant number, since it is smaller than the sum of its proper divisors (388997220).

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

172945980 is a wasteful number, since it uses less digits than its factorization.

172945980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 172945980 is about 13150.8927453614. The cubic root of 172945980 is about 557.1474629092.

The spelling of 172945980 in words is "one hundred seventy-two million, nine hundred forty-five thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 61 76 90 95 114 122 171 180 183 190 228 244 285 305 342 366 380 549 570 610 684 732 829 855 915 1098 1140 1159 1220 1658 1710 1830 2196 2318 2487 2745 3316 3420 3477 3660 4145 4636 4974 5490 5795 6954 7461 8290 9948 10431 10980 11590 12435 13908 14922 15751 16580 17385 20862 23180 24870 29844 31502 34770 37305 41724 47253 49740 50569 52155 63004 69540 74610 78755 94506 101138 104310 141759 149220 151707 157510 189012 202276 208620 236265 252845 283518 303414 315020 455121 472530 505690 567036 606828 708795 758535 910242 945060 960811 1011380 1417590 1517070 1820484 1921622 2275605 2835180 2882433 3034140 3843244 4551210 4804055 5764866 8647299 9102420 9608110 11529732 14412165 17294598 19216220 28824330 34589196 43236495 57648660 86472990 172945980