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102494080 = 2751397127
BaseRepresentation
bin1100001101111…
…10111110000000
321010212020110001
412012332332000
5202214302310
614100445344
72353120363
oct606767600
9233766401
10102494080
1152945357
122a3a9854
1318307ab0
14d8800da
158ee893a
hex61bef80

102494080 has 128 divisors (see below), whose sum is σ = 268692480. Its totient is φ = 37158912.

The previous prime is 102494053. The next prime is 102494083. The reversal of 102494080 is 80494201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102494083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 806977 + ... + 807103.

It is an arithmetic number, because the mean of its divisors is an integer number (2099160).

Almost surely, 2102494080 is an apocalyptic number.

102494080 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 102494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134346240).

102494080 is an abundant number, since it is smaller than the sum of its proper divisors (166198400).

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

102494080 is a wasteful number, since it uses less digits than its factorization.

102494080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 102494080 is about 10123.9359934761. The cubic root of 102494080 is about 467.9860711271.

The spelling of 102494080 in words is "one hundred two million, four hundred ninety-four thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 97 104 127 128 130 160 194 208 254 260 320 388 416 485 508 520 635 640 776 832 970 1016 1040 1261 1270 1552 1651 1664 1940 2032 2080 2522 2540 3104 3302 3880 4064 4160 5044 5080 6208 6305 6604 7760 8128 8255 8320 10088 10160 12319 12416 12610 13208 15520 16256 16510 20176 20320 24638 25220 26416 31040 33020 40352 40640 49276 50440 52832 61595 62080 66040 80704 81280 98552 100880 105664 123190 132080 160147 161408 197104 201760 211328 246380 264160 320294 394208 403520 492760 528320 640588 788416 800735 807040 985520 1056640 1281176 1576832 1601470 1971040 2562352 3202940 3942080 5124704 6405880 7884160 10249408 12811760 20498816 25623520 51247040 102494080