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152241000 = 23353311637
BaseRepresentation
bin10010001001100…
…00001101101000
3101121110122101120
421010300031220
5302433203000
623035015240
73526012212
oct1104601550
9347418346
10152241000
1178a32a0a
1242b9a520
1325704c42
141630d5b2
15d5736a0
hex9130368

152241000 has 128 divisors (see below), whose sum is σ = 490613760. Its totient is φ = 39264000.

The previous prime is 152240999. The next prime is 152241013. The reversal of 152241000 is 142251.

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 31 ways as a sum of consecutive naturals, for example, 92182 + ... + 93818.

It is an arithmetic number, because the mean of its divisors is an integer number (3832920).

Almost surely, 2152241000 is an apocalyptic number.

152241000 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 152241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245306880).

152241000 is an abundant number, since it is smaller than the sum of its proper divisors (338372760).

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

152241000 is a wasteful number, since it uses less digits than its factorization.

152241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 152241000 is about 12338.5979754590. The cubic root of 152241000 is about 533.9622355428.

Adding to 152241000 its reverse (142251), we get a palindrome (152383251).

The spelling of 152241000 in words is "one hundred fifty-two million, two hundred forty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 125 150 155 186 200 248 250 300 310 372 375 465 500 600 620 744 750 775 930 1000 1240 1500 1550 1637 1860 2325 3000 3100 3274 3720 3875 4650 4911 6200 6548 7750 8185 9300 9822 11625 13096 15500 16370 18600 19644 23250 24555 31000 32740 39288 40925 46500 49110 50747 65480 81850 93000 98220 101494 122775 152241 163700 196440 202988 204625 245550 253735 304482 327400 405976 409250 491100 507470 608964 613875 761205 818500 982200 1014940 1217928 1227750 1268675 1522410 1637000 2029880 2455500 2537350 3044820 3806025 4911000 5074700 6089640 6343375 7612050 10149400 12686750 15224100 19030125 25373500 30448200 38060250 50747000 76120500 152241000