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166153240 = 235111797229
BaseRepresentation
bin10011110011101…
…00110000011000
3102120122110101201
421321310300120
5320013400430
624253123544
74055164531
oct1171646030
9376573351
10166153240
1185875430
12477895b4
1328566436
14180d1688
15e8c08ca
hex9e74c18

166153240 has 128 divisors (see below), whose sum is σ = 438177600. Its totient is φ = 56033280.

The previous prime is 166153237. The next prime is 166153241. The reversal of 166153240 is 42351661.

It is a junction number, because it is equal to n+sod(n) for n = 166153199 and 166153208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166153241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 725446 + ... + 725674.

Almost surely, 2166153240 is an apocalyptic number.

166153240 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 166153240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219088800).

166153240 is an abundant number, since it is smaller than the sum of its proper divisors (272024360).

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

166153240 is a wasteful number, since it uses less digits than its factorization.

166153240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 166153240 is about 12890.0442202500. The cubic root of 166153240 is about 549.7555277130.

The spelling of 166153240 in words is "one hundred sixty-six million, one hundred fifty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 97 110 136 170 187 194 220 229 340 374 388 440 458 485 680 748 776 916 935 970 1067 1145 1496 1649 1832 1870 1940 2134 2290 2519 3298 3740 3880 3893 4268 4580 5038 5335 6596 7480 7786 8245 8536 9160 10076 10670 12595 13192 15572 16490 18139 19465 20152 21340 22213 25190 31144 32980 36278 38930 42680 42823 44426 50380 65960 72556 77860 85646 88852 90695 100760 111065 145112 155720 171292 177704 181390 214115 222130 244343 342584 362780 377621 428230 444260 488686 725560 755242 856460 888520 977372 1221715 1510484 1712920 1888105 1954744 2443430 3020968 3776210 4153831 4886860 7552420 8307662 9773720 15104840 16615324 20769155 33230648 41538310 83076620 166153240