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16102240 = 2557111307
BaseRepresentation
bin111101011011…
…001101100000
31010022002010021
4331123031200
513110232430
61333043224
7253603210
oct75331540
933262107
1016102240
1190a8940
125486514
13344a26b
1421d2240
15163107a
hexf5b360

16102240 has 96 divisors (see below), whose sum is σ = 47464704. Its totient is φ = 5015040.

The previous prime is 16102223. The next prime is 16102241. The reversal of 16102240 is 4220161.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16102241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11667 + ... + 12973.

It is an arithmetic number, because the mean of its divisors is an integer number (494424).

Almost surely, 216102240 is an apocalyptic number.

16102240 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 16102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23732352).

16102240 is an abundant number, since it is smaller than the sum of its proper divisors (31362464).

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

16102240 is a wasteful number, since it uses less digits than its factorization.

16102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 16102240 is about 4012.7596489199. The cubic root of 16102240 is about 252.5197971603.

The spelling of 16102240 in words is "sixteen million, one hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1307 1540 1760 2464 2614 3080 5228 6160 6535 9149 10456 12320 13070 14377 18298 20912 26140 28754 36596 41824 45745 52280 57508 71885 73192 91490 100639 104560 115016 143770 146384 182980 201278 209120 230032 287540 292768 365960 402556 460064 503195 575080 731920 805112 1006390 1150160 1463840 1610224 2012780 2300320 3220448 4025560 8051120 16102240