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75870054 = 233132337127
BaseRepresentation
bin1001000010110…
…10111101100110
312021202121011000
410201122331212
5123410320204
611310054130
71610612331
oct441327546
9167677130
1075870054
1139910327
12214aa346
1312945630
14a10d618
1569da039
hex485af66

75870054 has 128 divisors (see below), whose sum is σ = 196116480. Its totient is φ = 21555072.

The previous prime is 75870029. The next prime is 75870071. The reversal of 75870054 is 45007857.

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 63 ways as a sum of consecutive naturals, for example, 597339 + ... + 597465.

It is an arithmetic number, because the mean of its divisors is an integer number (1532160).

Almost surely, 275870054 is an apocalyptic number.

75870054 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 75870054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98058240).

75870054 is an abundant number, since it is smaller than the sum of its proper divisors (120246426).

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

75870054 is a wasteful number, since it uses less digits than its factorization.

75870054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 75870054 is about 8710.3417843389. The cubic root of 75870054 is about 423.3408047675.

The spelling of 75870054 in words is "seventy-five million, eight hundred seventy thousand, fifty-four".

Divisors: 1 2 3 6 9 13 18 23 26 27 37 39 46 54 69 74 78 111 117 127 138 207 222 234 254 299 333 351 381 414 481 598 621 666 702 762 851 897 962 999 1143 1242 1443 1651 1702 1794 1998 2286 2553 2691 2886 2921 3302 3429 4329 4699 4953 5106 5382 5842 6858 7659 8073 8658 8763 9398 9906 11063 12987 14097 14859 15318 16146 17526 22126 22977 25974 26289 28194 29718 33189 37973 42291 44577 45954 52578 61087 66378 75946 78867 84582 89154 99567 108077 113919 122174 126873 157734 183261 199134 216154 227838 253746 298701 324231 341757 366522 549783 597402 648462 683514 972693 1025271 1099566 1405001 1649349 1945386 2050542 2810002 2918079 3298698 4215003 5836158 8430006 12645009 25290018 37935027 75870054