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152242240 = 26531103149
BaseRepresentation
bin10010001001100…
…00100001000000
3101121110201002111
421010300201000
5302433222430
623035025104
73526015633
oct1104604100
9347421074
10152242240
1178a33937
1242b9b194
1325705687
141630dc1a
15d573c2a
hex9130840

152242240 has 112 divisors (see below), whose sum is σ = 380390400. Its totient is φ = 57968640.

The previous prime is 152242229. The next prime is 152242241. The reversal of 152242240 is 42242251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152242241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1021686 + ... + 1021834.

Almost surely, 2152242240 is an apocalyptic number.

152242240 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 152242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190195200).

152242240 is an abundant number, since it is smaller than the sum of its proper divisors (228148160).

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

152242240 is a wasteful number, since it uses less digits than its factorization.

152242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 152242240 is about 12338.6482241776. The cubic root of 152242240 is about 533.9636852429.

Adding to 152242240 its reverse (42242251), we get a palindrome (194484491).

The spelling of 152242240 in words is "one hundred fifty-two million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 103 124 149 155 160 206 248 298 310 320 412 496 515 596 620 745 824 992 1030 1192 1240 1490 1648 1984 2060 2384 2480 2980 3193 3296 4120 4619 4768 4960 5960 6386 6592 8240 9238 9536 9920 11920 12772 15347 15965 16480 18476 23095 23840 25544 30694 31930 32960 36952 46190 47680 51088 61388 63860 73904 76735 92380 102176 122776 127720 147808 153470 184760 204352 245552 255440 295616 306940 369520 475757 491104 510880 613880 739040 951514 982208 1021760 1227760 1478080 1903028 2378785 2455520 3806056 4757570 4911040 7612112 9515140 15224224 19030280 30448448 38060560 76121120 152242240