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166174140 = 223511247487
BaseRepresentation
bin10011110011110…
…01110110111100
3102120200112001210
421321321312330
5320020033030
624253404420
74055312466
oct1171716674
9376615053
10166174140
118588a100
1247799710
1328572ac2
14180d9136
15e8c6bb0
hex9e79dbc

166174140 has 144 divisors (see below), whose sum is σ = 523385856. Its totient is φ = 39346560.

The previous prime is 166174121. The next prime is 166174157. The reversal of 166174140 is 41471661.

It is a super-2 number, since 2×1661741402 = 55227689609479200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 166174098 and 166174107.

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, 340977 + ... + 341463.

It is an arithmetic number, because the mean of its divisors is an integer number (3634624).

Almost surely, 2166174140 is an apocalyptic number.

166174140 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 166174140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261692928).

166174140 is an abundant number, since it is smaller than the sum of its proper divisors (357211716).

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

166174140 is a wasteful number, since it uses less digits than its factorization.

166174140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 166174140 is about 12890.8548979499. The cubic root of 166174140 is about 549.7785775370.

The spelling of 166174140 in words is "one hundred sixty-six million, one hundred seventy-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 47 55 60 66 94 110 121 132 141 165 188 220 235 242 282 330 363 470 484 487 517 564 605 660 705 726 940 974 1034 1210 1410 1452 1461 1551 1815 1948 2068 2420 2435 2585 2820 2922 3102 3630 4870 5170 5357 5687 5844 6204 7260 7305 7755 9740 10340 10714 11374 14610 15510 16071 17061 21428 22748 22889 26785 28435 29220 31020 32142 34122 45778 53570 56870 58927 64284 68244 68667 80355 85305 91556 107140 113740 114445 117854 137334 160710 170610 176781 228890 235708 251779 274668 294635 321420 341220 343335 353562 457780 503558 589270 686670 707124 755337 883905 1007116 1178540 1258895 1373340 1510674 1767810 2517790 2769569 3021348 3535620 3776685 5035580 5539138 7553370 8308707 11078276 13847845 15106740 16617414 27695690 33234828 41543535 55391380 83087070 166174140