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21942480 = 2435737353
BaseRepresentation
bin101001110110…
…1000011010000
31112021210102110
41103231003100
521104124410
62102145320
7354336150
oct123550320
945253373
1021942480
111142778a
127422240
134713621
142cb2760
151dd6720
hex14ed0d0

21942480 has 160 divisors (see below), whose sum is σ = 80066304. Its totient is φ = 4866048.

The previous prime is 21942469. The next prime is 21942491. The reversal of 21942480 is 8424912.

It is an interprime number because it is at equal distance from previous prime (21942469) and next prime (21942491).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61984 + ... + 62336.

Almost surely, 221942480 is an apocalyptic number.

21942480 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 21942480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40033152).

21942480 is an abundant number, since it is smaller than the sum of its proper divisors (58123824).

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

21942480 is a wasteful number, since it uses less digits than its factorization.

21942480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 21942480 is about 4684.2800941020. The cubic root of 21942480 is about 279.9595179570.

It can be divided in two parts, 21942 and 480, that added together give a palindrome (22422).

The spelling of 21942480 in words is "twenty-one million, nine hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 37 40 42 48 56 60 70 74 80 84 105 111 112 120 140 148 168 185 210 222 240 259 280 296 336 353 370 420 444 518 555 560 592 706 740 777 840 888 1036 1059 1110 1295 1412 1480 1554 1680 1765 1776 2072 2118 2220 2471 2590 2824 2960 3108 3530 3885 4144 4236 4440 4942 5180 5295 5648 6216 7060 7413 7770 8472 8880 9884 10360 10590 12355 12432 13061 14120 14826 15540 16944 19768 20720 21180 24710 26122 28240 29652 31080 37065 39183 39536 42360 49420 52244 59304 62160 65305 74130 78366 84720 91427 98840 104488 118608 130610 148260 156732 182854 195915 197680 208976 261220 274281 296520 313464 365708 391830 457135 522440 548562 593040 626928 731416 783660 914270 1044880 1097124 1371405 1462832 1567320 1828540 2194248 2742810 3134640 3657080 4388496 5485620 7314160 10971240 21942480