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76530150 = 2335283683
BaseRepresentation
bin1001000111111…
…00000111100110
312100000010122000
410203330013212
5124042431100
611332150130
71616331654
oct443740746
9170003560
1076530150
113a221264
1221768346
1312b16c18
14a241dd4
156aba900
hex48fc1e6

76530150 has 96 divisors (see below), whose sum is σ = 213736320. Its totient is φ = 20132640.

The previous prime is 76530137. The next prime is 76530163. The reversal of 76530150 is 5103567.

76530150 is a `hidden beast` number, since 7 + 653 + 0 + 1 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (76530137) and next prime (76530163).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111709 + ... + 112391.

It is an arithmetic number, because the mean of its divisors is an integer number (2226420).

Almost surely, 276530150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76530150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106868160).

76530150 is an abundant number, since it is smaller than the sum of its proper divisors (137206170).

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

76530150 is a wasteful number, since it uses less digits than its factorization.

76530150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 76530150 is about 8748.1512332607. The cubic root of 76530150 is about 424.5649989745.

The spelling of 76530150 in words is "seventy-six million, five hundred thirty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 83 90 135 150 166 225 249 270 415 450 498 675 683 747 830 1245 1350 1366 1494 2049 2075 2241 2490 3415 3735 4098 4150 4482 6147 6225 6830 7470 10245 11205 12294 12450 17075 18441 18675 20490 22410 30735 34150 36882 37350 51225 56025 56689 61470 92205 102450 112050 113378 153675 170067 184410 283445 307350 340134 461025 510201 566890 850335 922050 1020402 1417225 1530603 1700670 2551005 2834450 3061206 4251675 5102010 7653015 8503350 12755025 15306030 25510050 38265075 76530150