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152213460 = 223572912497
BaseRepresentation
bin10010001001010…
…01011111010100
3101121102020121120
421010221133110
5302431312320
623034243540
73525536010
oct1104513724
9347366546
10152213460
1178a14253
1242b865b0
13256c5549
1416303540
15d56a440
hex91297d4

152213460 has 96 divisors (see below), whose sum is σ = 503919360. Its totient is φ = 33589248.

The previous prime is 152213459. The next prime is 152213491. The reversal of 152213460 is 64312251.

It is a self number, because there is not a number n which added to its sum of digits gives 152213460.

It is a congruent number.

It is an unprimeable number.

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, 5932 + ... + 18428.

It is an arithmetic number, because the mean of its divisors is an integer number (5249160).

Almost surely, 2152213460 is an apocalyptic number.

152213460 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 152213460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251959680).

152213460 is an abundant number, since it is smaller than the sum of its proper divisors (351705900).

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

152213460 is a wasteful number, since it uses less digits than its factorization.

152213460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12545 (or 12543 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 152213460 is about 12337.4819148804. The cubic root of 152213460 is about 533.9300361424.

It can be divided in two parts, 15221 and 3460, that added together give a palindrome (18681).

The spelling of 152213460 in words is "one hundred fifty-two million, two hundred thirteen thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 29 30 35 42 58 60 70 84 87 105 116 140 145 174 203 210 290 348 406 420 435 580 609 812 870 1015 1218 1740 2030 2436 3045 4060 6090 12180 12497 24994 37491 49988 62485 74982 87479 124970 149964 174958 187455 249940 262437 349916 362413 374910 437395 524874 724826 749820 874790 1049748 1087239 1312185 1449652 1749580 1812065 2174478 2536891 2624370 3624130 4348956 5073782 5248740 5436195 7248260 7610673 10147564 10872390 12684455 15221346 21744780 25368910 30442692 38053365 50737820 76106730 152213460