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20148876 = 223211174173
BaseRepresentation
bin100110011011…
…1001010001100
31101220200001200
41030313022030
520124231001
61555505500
7333156036
oct114671214
941820050
1020148876
1110412170
1268b8290
134236117
142966c56
151b80086
hex133728c

20148876 has 144 divisors (see below), whose sum is σ = 61090848. Its totient is φ = 5529600.

The previous prime is 20148857. The next prime is 20148883. The reversal of 20148876 is 67884102.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20148876.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275976 + ... + 276048.

It is an arithmetic number, because the mean of its divisors is an integer number (424242).

Almost surely, 220148876 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 20148876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30545424).

20148876 is an abundant number, since it is smaller than the sum of its proper divisors (40941972).

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

20148876 is a wasteful number, since it uses less digits than its factorization.

20148876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 20148876 is about 4488.7499373434. The cubic root of 20148876 is about 272.1136167504.

The spelling of 20148876 in words is "twenty million, one hundred forty-eight thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 41 44 51 66 68 73 82 99 102 123 132 146 153 164 187 198 204 219 246 292 306 369 374 396 438 451 492 561 612 657 697 738 748 803 876 902 1122 1241 1314 1353 1394 1476 1606 1683 1804 2091 2244 2409 2482 2628 2706 2788 2993 3212 3366 3723 4059 4182 4818 4964 5412 5986 6273 6732 7227 7446 7667 8118 8364 8979 9636 11169 11972 12546 13651 14454 14892 15334 16236 17958 22338 23001 25092 26937 27302 28908 30668 32923 35916 40953 44676 46002 50881 53874 54604 65846 69003 81906 92004 98769 101762 107748 122859 131692 138006 152643 163812 197538 203524 245718 276012 296307 305286 395076 457929 491436 559691 592614 610572 915858 1119382 1185228 1679073 1831716 2238764 3358146 5037219 6716292 10074438 20148876