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4152240 = 243257379
BaseRepresentation
bin1111110101101110110000
321210221210200
433311232300
52030332430
6224555200
750202441
oct17655660
97727720
104152240
112386704
121482b00
13b24c61
147a12c8
15570460
hex3f5bb0

4152240 has 120 divisors (see below), whose sum is σ = 14314560. Its totient is φ = 1078272.

The previous prime is 4152229. The next prime is 4152257. The reversal of 4152240 is 422514.

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 (18).

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, 52521 + ... + 52599.

It is an arithmetic number, because the mean of its divisors is an integer number (119288).

Almost surely, 24152240 is an apocalyptic number.

4152240 is a gapful number since it is divisible by the number (40) 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 4152240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7157280).

4152240 is an abundant number, since it is smaller than the sum of its proper divisors (10162320).

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

4152240 is a wasteful number, since it uses less digits than its factorization.

4152240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4152240 is about 2037.7045909552. The cubic root of 4152240 is about 160.7289654316.

Adding to 4152240 its reverse (422514), we get a palindrome (4574754).

The spelling of 4152240 in words is "four million, one hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 73 79 80 90 120 144 146 158 180 219 237 240 292 316 360 365 395 438 474 584 632 657 711 720 730 790 876 948 1095 1168 1185 1264 1314 1422 1460 1580 1752 1896 2190 2370 2628 2844 2920 3160 3285 3504 3555 3792 4380 4740 5256 5688 5767 5840 6320 6570 7110 8760 9480 10512 11376 11534 13140 14220 17301 17520 18960 23068 26280 28440 28835 34602 46136 51903 52560 56880 57670 69204 86505 92272 103806 115340 138408 173010 207612 230680 259515 276816 346020 415224 461360 519030 692040 830448 1038060 1384080 2076120 4152240