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16620390 = 234517271
BaseRepresentation
bin111111011001…
…101101100110
31011021101220000
4333121231212
513223323030
61352122130
7261161643
oct77315546
934241800
1016620390
119422166
125696346
13359c067
1422c8dca
1516d4860
hexfd9b66

16620390 has 120 divisors (see below), whose sum is σ = 48142512. Its totient is φ = 4112640.

The previous prime is 16620361. The next prime is 16620391. The reversal of 16620390 is 9302661.

It is a happy number.

16620390 is a `hidden beast` number, since 1 + 6 + 620 + 39 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16620391) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 234055 + ... + 234125.

It is a vampire number, since it can be written as 26016390 (with its own digits).

Almost surely, 216620390 is an apocalyptic number.

16620390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16620390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24071256).

16620390 is an abundant number, since it is smaller than the sum of its proper divisors (31522122).

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

16620390 is a wasteful number, since it uses less digits than its factorization.

16620390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 16620390 is about 4076.8112539091. The cubic root of 16620390 is about 255.1998433420.

It can be divided in two parts, 16620 and 390, that multiplied together give a triangular number (6481800 = T3600).

The spelling of 16620390 in words is "sixteen million, six hundred twenty thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 71 81 85 90 102 135 142 153 162 170 213 255 270 289 306 355 405 426 459 510 578 639 710 765 810 867 918 1065 1207 1278 1377 1445 1530 1734 1917 2130 2295 2414 2601 2754 2890 3195 3621 3834 4335 4590 5202 5751 6035 6390 6885 7242 7803 8670 9585 10863 11502 12070 13005 13770 15606 18105 19170 20519 21726 23409 26010 28755 32589 36210 39015 41038 46818 54315 57510 61557 65178 78030 97767 102595 108630 117045 123114 162945 184671 195534 205190 234090 307785 325890 369342 488835 554013 615570 923355 977670 1108026 1662039 1846710 2770065 3324078 5540130 8310195 16620390