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2150160 = 243517231
BaseRepresentation
bin1000001100111100010000
311001020110120
420030330100
51022301120
6114030240
724163455
oct10147420
94036416
102150160
1112394a1
12878380
135a38ac
143dd82c
152c7140
hex20cf10

2150160 has 120 divisors (see below), whose sum is σ = 7309056. Its totient is φ = 522240.

The previous prime is 2150149. The next prime is 2150171. The reversal of 2150160 is 610512.

It is an interprime number because it is at equal distance from previous prime (2150149) and next prime (2150171).

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 (15).

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, 69345 + ... + 69375.

22150160 is an apocalyptic number.

2150160 is a gapful number since it is divisible by the number (20) 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 2150160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3654528).

2150160 is an abundant number, since it is smaller than the sum of its proper divisors (5158896).

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

2150160 is a wasteful number, since it uses less digits than its factorization.

2150160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 2150160 is about 1466.3423883937. The cubic root of 2150160 is about 129.0694896323.

Adding to 2150160 its reverse (610512), we get a palindrome (2760672).

The spelling of 2150160 in words is "two million, one hundred fifty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 31 34 40 48 51 60 62 68 80 85 93 102 120 124 136 155 170 186 204 240 248 255 272 289 310 340 372 408 465 496 510 527 578 620 680 744 816 867 930 1020 1054 1156 1240 1360 1445 1488 1581 1734 1860 2040 2108 2312 2480 2635 2890 3162 3468 3720 4080 4216 4335 4624 5270 5780 6324 6936 7440 7905 8432 8670 8959 10540 11560 12648 13872 15810 17340 17918 21080 23120 25296 26877 31620 34680 35836 42160 44795 53754 63240 69360 71672 89590 107508 126480 134385 143344 179180 215016 268770 358360 430032 537540 716720 1075080 2150160