Search a number
-
+
23157420 = 223511132699
BaseRepresentation
bin101100001010…
…1101010101100
31121120112000020
41120111222230
521412014140
62144202140
7400556226
oct130255254
947515006
1023157420
1112087570
127909350
134a4a620
14310b416
1520766d0
hex1615aac

23157420 has 96 divisors (see below), whose sum is σ = 76204800. Its totient is φ = 5180160.

The previous prime is 23157419. The next prime is 23157437. The reversal of 23157420 is 2475132.

It is a super-2 number, since 2×231574202 = 1072532202112800, which contains 22 as substring.

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, 7231 + ... + 9929.

It is an arithmetic number, because the mean of its divisors is an integer number (793800).

Almost surely, 223157420 is an apocalyptic number.

23157420 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 23157420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38102400).

23157420 is an abundant number, since it is smaller than the sum of its proper divisors (53047380).

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

23157420 is a wasteful number, since it uses less digits than its factorization.

23157420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2735 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 23157420 is about 4812.2157058885. The cubic root of 23157420 is about 285.0340371783.

The spelling of 23157420 in words is "twenty-three million, one hundred fifty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2699 2860 4290 5398 8097 8580 10796 13495 16194 26990 29689 32388 35087 40485 53980 59378 70174 80970 89067 105261 118756 140348 148445 161940 175435 178134 210522 296890 350870 356268 385957 421044 445335 526305 593780 701740 771914 890670 1052610 1157871 1543828 1781340 1929785 2105220 2315742 3859570 4631484 5789355 7719140 11578710 23157420