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16122480 = 24351131197
BaseRepresentation
bin111101100000…
…001001110000
31010100002212220
4331200021300
513111404410
61333321040
7254016213
oct75401160
933302786
1016122480
119112070
125496180
13345653a
1421d977a
151637070
hexf60270

16122480 has 160 divisors (see below), whose sum is σ = 56567808. Its totient is φ = 3763200.

The previous prime is 16122479. The next prime is 16122481. The reversal of 16122480 is 8422161.

It is an interprime number because it is at equal distance from previous prime (16122479) and next prime (16122481).

It is a super-2 number, since 2×161224802 = 519868722700800, which contains 22 as substring.

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 16122480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16122481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81742 + ... + 81938.

Almost surely, 216122480 is an apocalyptic number.

16122480 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 16122480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28283904).

16122480 is an abundant number, since it is smaller than the sum of its proper divisors (40445328).

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

16122480 is a wasteful number, since it uses less digits than its factorization.

16122480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 16122480 is about 4015.2808120977. The cubic root of 16122480 is about 252.6255559602.

The spelling of 16122480 in words is "sixteen million, one hundred twenty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 31 33 40 44 48 55 60 62 66 80 88 93 110 120 124 132 155 165 176 186 197 220 240 248 264 310 330 341 372 394 440 465 496 528 591 620 660 682 744 788 880 930 985 1023 1182 1240 1320 1364 1488 1576 1705 1860 1970 2046 2167 2364 2480 2640 2728 2955 3152 3410 3720 3940 4092 4334 4728 5115 5456 5910 6107 6501 6820 7440 7880 8184 8668 9456 10230 10835 11820 12214 13002 13640 15760 16368 17336 18321 20460 21670 23640 24428 26004 27280 30535 32505 34672 36642 40920 43340 47280 48856 52008 61070 65010 67177 73284 81840 86680 91605 97712 104016 122140 130020 134354 146568 173360 183210 201531 244280 260040 268708 293136 335885 366420 403062 488560 520080 537416 671770 732840 806124 1007655 1074832 1343540 1465680 1612248 2015310 2687080 3224496 4030620 5374160 8061240 16122480