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152025000 = 233552027
BaseRepresentation
bin10010000111110…
…11011110101000
3101121001200002120
421003323132220
5302404300000
623030231240
73524122401
oct1103733650
9347050076
10152025000
11788a56a6
1242ab5520
132565a82a
14162949a8
15d52e6a0
hex90fb7a8

152025000 has 96 divisors (see below), whose sum is σ = 475282080. Its totient is φ = 40520000.

The previous prime is 152024959. The next prime is 152025011. The reversal of 152025000 is 520251.

It is a super-2 number, since 2×1520250002 = 46223201250000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 73987 + ... + 76013.

It is an arithmetic number, because the mean of its divisors is an integer number (4950855).

Almost surely, 2152025000 is an apocalyptic number.

152025000 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 152025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237641040).

152025000 is an abundant number, since it is smaller than the sum of its proper divisors (323257080).

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

152025000 is an equidigital number, since it uses as much as digits as its factorization.

152025000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 152025000 is about 12329.8418481341. The cubic root of 152025000 is about 533.7095869304.

Adding to 152025000 its reverse (520251), we get a palindrome (152545251).

It can be divided in two parts, 15202 and 5000, that added together give a palindrome (20202).

The spelling of 152025000 in words is "one hundred fifty-two million, twenty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 2027 2500 3000 3125 3750 4054 5000 6081 6250 7500 8108 9375 10135 12162 12500 15000 16216 18750 20270 24324 25000 30405 37500 40540 48648 50675 60810 75000 81080 101350 121620 152025 202700 243240 253375 304050 405400 506750 608100 760125 1013500 1216200 1266875 1520250 2027000 2533750 3040500 3800625 5067500 6081000 6334375 7601250 10135000 12668750 15202500 19003125 25337500 30405000 38006250 50675000 76012500 152025000