Search a number
-
+
20709480 = 23351129541
BaseRepresentation
bin100111100000…
…0000001101000
31102222011001210
41033000001220
520300200410
62015513120
7341012331
oct117000150
942864053
1020709480
1110765380
126b287a0
1343a133c
142a71288
151c41220
hex13c0068

20709480 has 128 divisors (see below), whose sum is σ = 70243200. Its totient is φ = 4838400.

The previous prime is 20709473. The next prime is 20709497. The reversal of 20709480 is 8490702.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38010 + ... + 38550.

It is an arithmetic number, because the mean of its divisors is an integer number (548775).

Almost surely, 220709480 is an apocalyptic number.

20709480 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 20709480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35121600).

20709480 is an abundant number, since it is smaller than the sum of its proper divisors (49533720).

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

20709480 is a wasteful number, since it uses less digits than its factorization.

20709480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 20709480 is about 4550.7669683252. The cubic root of 20709480 is about 274.6142470214.

The spelling of 20709480 in words is "twenty million, seven hundred nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 29 30 33 40 44 55 58 60 66 87 88 110 116 120 132 145 165 174 220 232 264 290 319 330 348 435 440 541 580 638 660 696 870 957 1082 1160 1276 1320 1595 1623 1740 1914 2164 2552 2705 3190 3246 3480 3828 4328 4785 5410 5951 6380 6492 7656 8115 9570 10820 11902 12760 12984 15689 16230 17853 19140 21640 23804 29755 31378 32460 35706 38280 47067 47608 59510 62756 64920 71412 78445 89265 94134 119020 125512 142824 156890 172579 178530 188268 235335 238040 313780 345158 357060 376536 470670 517737 627560 690316 714120 862895 941340 1035474 1380632 1725790 1882680 2070948 2588685 3451580 4141896 5177370 6903160 10354740 20709480