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20215140 = 223511109281
BaseRepresentation
bin100110100011…
…1010101100100
31102001000221220
41031013111210
520133341030
62001140340
7333553161
oct115072544
942030856
1020215140
1110457a30
12692a6b0
13425a32a
142983068
151b94a10
hex1347564

20215140 has 96 divisors (see below), whose sum is σ = 62536320. Its totient is φ = 4838400.

The previous prime is 20215133. The next prime is 20215147. The reversal of 20215140 is 4151202.

It is an interprime number because it is at equal distance from previous prime (20215133) and next prime (20215147).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20215147) 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, 71800 + ... + 72080.

It is an arithmetic number, because the mean of its divisors is an integer number (651420).

Almost surely, 220215140 is an apocalyptic number.

20215140 is a gapful number since it is divisible by the number (20) 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 20215140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31268160).

20215140 is an abundant number, since it is smaller than the sum of its proper divisors (42321180).

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

20215140 is a wasteful number, since it uses less digits than its factorization.

20215140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 20215140 is about 4496.1249982624. The cubic root of 20215140 is about 272.4115921158.

Adding to 20215140 its reverse (4151202), we get a palindrome (24366342).

The spelling of 20215140 in words is "twenty million, two hundred fifteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 109 110 132 165 218 220 281 327 330 436 545 562 654 660 843 1090 1124 1199 1308 1405 1635 1686 2180 2398 2810 3091 3270 3372 3597 4215 4796 5620 5995 6182 6540 7194 8430 9273 11990 12364 14388 15455 16860 17985 18546 23980 30629 30910 35970 37092 46365 61258 61820 71940 91887 92730 122516 153145 183774 185460 306290 336919 367548 459435 612580 673838 918870 1010757 1347676 1684595 1837740 2021514 3369190 4043028 5053785 6738380 10107570 20215140