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152146680 = 23357199533
BaseRepresentation
bin10010001000110…
…01001011111000
3101121021212000020
421010121023320
5302422143210
623033010440
73525140220
oct1104311370
9347255006
10152146680
1178979064
1242b53a20
13256a102a
14162c7080
15d555770
hex91192f8

152146680 has 128 divisors (see below), whose sum is σ = 549158400. Its totient is φ = 32942592.

The previous prime is 152146639. The next prime is 152146691. The reversal of 152146680 is 86641251.

It is a super-2 number, since 2×1521466802 = 46297224470044800, which contains 22 as substring.

It is a congruent number.

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, 11194 + ... + 20726.

It is an arithmetic number, because the mean of its divisors is an integer number (4290300).

Almost surely, 2152146680 is an apocalyptic number.

152146680 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 152146680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274579200).

152146680 is an abundant number, since it is smaller than the sum of its proper divisors (397011720).

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

152146680 is a wasteful number, since it uses less digits than its factorization.

152146680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9573 (or 9569 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 152146680 is about 12334.7752310287. The cubic root of 152146680 is about 533.8519417271.

The spelling of 152146680 in words is "one hundred fifty-two million, one hundred forty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1596 1995 2280 2660 3192 3990 5320 7980 9533 15960 19066 28599 38132 47665 57198 66731 76264 95330 114396 133462 142995 181127 190660 200193 228792 266924 285990 333655 362254 381320 400386 533848 543381 571980 667310 724508 800772 905635 1000965 1086762 1143960 1267889 1334620 1449016 1601544 1811270 2001930 2173524 2535778 2669240 2716905 3622540 3803667 4003860 4347048 5071556 5433810 6339445 7245080 7607334 8007720 10143112 10867620 12678890 15214668 19018335 21735240 25357780 30429336 38036670 50715560 76073340 152146680