Search a number
-
+
20270080 = 210537107
BaseRepresentation
bin100110101010…
…0110000000000
31102010211022201
41031110300000
520142120310
62002242544
7334202305
oct115246000
942124281
1020270080
1110495236
126956454
13427933c
1429990ac
151ba5e3a
hex1354c00

20270080 has 88 divisors (see below), whose sum is σ = 50405328. Its totient is φ = 7815168.

The previous prime is 20270077. The next prime is 20270083. The reversal of 20270080 is 8007202.

It is an interprime number because it is at equal distance from previous prime (20270077) and next prime (20270083).

It is a super-2 number, since 2×202700802 = 821752286412800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20270083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189387 + ... + 189493.

Almost surely, 220270080 is an apocalyptic number.

20270080 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 20270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25202664).

20270080 is an abundant number, since it is smaller than the sum of its proper divisors (30135248).

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

20270080 is a wasteful number, since it uses less digits than its factorization.

20270080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 20270080 is about 4502.2305582900. The cubic root of 20270080 is about 272.6581524499.

Adding to 20270080 its reverse (8007202), we get a palindrome (28277282).

The spelling of 20270080 in words is "twenty million, two hundred seventy thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 107 128 148 160 185 214 256 296 320 370 428 512 535 592 640 740 856 1024 1070 1184 1280 1480 1712 2140 2368 2560 2960 3424 3959 4280 4736 5120 5920 6848 7918 8560 9472 11840 13696 15836 17120 18944 19795 23680 27392 31672 34240 37888 39590 47360 54784 63344 68480 79180 94720 109568 126688 136960 158360 189440 253376 273920 316720 506752 547840 633440 1013504 1266880 2027008 2533760 4054016 5067520 10135040 20270080