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152283240 = 2335515667
BaseRepresentation
bin10010001001110…
…10100001101000
3101121112210100000
421010322201220
5302441030430
623035543000
73526246314
oct1104724150
9347483300
10152283240
1178a6171a
1242bbaa60
132571b235
1416320b44
15d580e60
hex913a868

152283240 has 96 divisors (see below), whose sum is σ = 513283680. Its totient is φ = 40606272.

The previous prime is 152283227. The next prime is 152283251. The reversal of 152283240 is 42382251.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1887 + ... + 17553.

It is an arithmetic number, because the mean of its divisors is an integer number (5346705).

Almost surely, 2152283240 is an apocalyptic number.

152283240 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 152283240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256641840).

152283240 is an abundant number, since it is smaller than the sum of its proper divisors (361000440).

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

152283240 is a wasteful number, since it uses less digits than its factorization.

152283240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15693 (or 15677 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 152283240 is about 12340.3095585159. The cubic root of 152283240 is about 534.0116144425.

The spelling of 152283240 in words is "one hundred fifty-two million, two hundred eighty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 4860 9720 15667 31334 47001 62668 78335 94002 125336 141003 156670 188004 235005 282006 313340 376008 423009 470010 564012 626680 705015 846018 940020 1128024 1269027 1410030 1692036 1880040 2115045 2538054 2820060 3384072 3807081 4230090 5076108 5640120 6345135 7614162 8460180 10152216 12690270 15228324 16920360 19035405 25380540 30456648 38070810 50761080 76141620 152283240