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2440152 = 2333111379
BaseRepresentation
bin1001010011101111011000
311120222021000
421103233120
51111041102
6124145000
726512101
oct11235730
94528230
102440152
111417360
12998160
136758a0
144773a8
1533301c
hex253bd8

2440152 has 128 divisors (see below), whose sum is σ = 8064000. Its totient is φ = 673920.

The previous prime is 2440127. The next prime is 2440153. The reversal of 2440152 is 2510442.

2440152 = T208 + T209 + ... + T286.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2440153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30849 + ... + 30927.

It is an arithmetic number, because the mean of its divisors is an integer number (63000).

22440152 is an apocalyptic number.

2440152 is a gapful number since it is divisible by the number (22) 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 2440152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032000).

2440152 is an abundant number, since it is smaller than the sum of its proper divisors (5623848).

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

2440152 is a wasteful number, since it uses less digits than its factorization.

2440152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 108 counting only the distinct ones).

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

The square root of 2440152 is about 1562.0985884380. The cubic root of 2440152 is about 134.6291054063.

Adding to 2440152 its reverse (2510442), we get a palindrome (4950594).

The spelling of 2440152 in words is "two million, four hundred forty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 79 88 99 104 108 117 132 143 156 158 198 216 234 237 264 286 297 312 316 351 396 429 468 474 572 594 632 702 711 792 858 869 936 948 1027 1144 1188 1287 1404 1422 1716 1738 1896 2054 2133 2376 2574 2607 2808 2844 3081 3432 3476 3861 4108 4266 5148 5214 5688 6162 6952 7722 7821 8216 8532 9243 10296 10428 11297 12324 15444 15642 17064 18486 20856 22594 23463 24648 27729 30888 31284 33891 36972 45188 46926 55458 62568 67782 73944 90376 93852 101673 110916 135564 187704 203346 221832 271128 305019 406692 610038 813384 1220076 2440152