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152002060 = 225773107139
BaseRepresentation
bin10010000111101…
…01111000001100
3101121000111121221
421003311320030
5302403031220
623025533124
73523665460
oct1103657014
9347014557
10152002060
117888a441
1242aa41a4
1325650262
141628a4a0
15d5279aa
hex90f5e0c

152002060 has 96 divisors (see below), whose sum is σ = 375943680. Its totient is φ = 50554368.

The previous prime is 152002027. The next prime is 152002087. The reversal of 152002060 is 60200251.

It is a happy 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, 1093471 + ... + 1093609.

It is an arithmetic number, because the mean of its divisors is an integer number (3916080).

Almost surely, 2152002060 is an apocalyptic number.

152002060 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 152002060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187971840).

152002060 is an abundant number, since it is smaller than the sum of its proper divisors (223941620).

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

152002060 is a wasteful number, since it uses less digits than its factorization.

152002060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 152002060 is about 12328.9115496868. The cubic root of 152002060 is about 533.6827406578.

The spelling of 152002060 in words is "one hundred fifty-two million, two thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 107 139 140 146 214 278 292 365 428 511 535 556 695 730 749 973 1022 1070 1390 1460 1498 1946 2044 2140 2555 2780 2996 3745 3892 4865 5110 7490 7811 9730 10147 10220 14873 14980 15622 19460 20294 29746 31244 39055 40588 50735 54677 59492 71029 74365 78110 101470 104111 109354 142058 148730 156220 202940 208222 218708 273385 284116 297460 355145 416444 520555 546770 710290 1041110 1085729 1093540 1420580 2082220 2171458 4342916 5428645 7600103 10857290 15200206 21714580 30400412 38000515 76001030 152002060