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96102240 = 25351315401
BaseRepresentation
bin1011011101001…
…10011101100000
320200211111111020
411232212131200
5144100232430
613311445440
72244566313
oct556463540
9220744436
1096102240
114a27a043
1228226880
1316baa640
14ca9897a
158684b10
hex5ba6760

96102240 has 96 divisors (see below), whose sum is σ = 326029536. Its totient is φ = 23654400.

The previous prime is 96102233. The next prime is 96102269. The reversal of 96102240 is 4220169.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 96102240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1461 + ... + 13940.

It is an arithmetic number, because the mean of its divisors is an integer number (3396141).

Almost surely, 296102240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163014768).

96102240 is an abundant number, since it is smaller than the sum of its proper divisors (229927296).

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

96102240 is a wasteful number, since it uses less digits than its factorization.

96102240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15432 (or 15424 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 96102240 is about 9803.1749958878. The cubic root of 96102240 is about 458.0481887728.

The spelling of 96102240 in words is "ninety-six million, one hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 15401 30802 46203 61604 77005 92406 123208 154010 184812 200213 231015 246416 308020 369624 400426 462030 492832 600639 616040 739248 800852 924060 1001065 1201278 1232080 1478496 1601704 1848120 2002130 2402556 2464160 3003195 3203408 3696240 4004260 4805112 6006390 6406816 7392480 8008520 9610224 12012780 16017040 19220448 24025560 32034080 48051120 96102240