Search a number
-
+
2423013510 = 235292137701
BaseRepresentation
bin1001000001101100…
…0100000010000110
320020212022211200010
42100123010002012
514430242413020
61040233331050
7114021163221
oct22033040206
96225284603
102423013510
111033800a05
12577566a86
132c7cb5908
1418db305b8
15e2abede0
hex906c4086

2423013510 has 96 divisors (see below), whose sum is σ = 6075287712. Its totient is φ = 618419200.

The previous prime is 2423013491. The next prime is 2423013529. The reversal of 2423013510 is 153103242.

It is an interprime number because it is at equal distance from previous prime (2423013491) and next prime (2423013529).

It is a super-3 number, since 3×24230135103 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

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, 3456160 + ... + 3456860.

It is an arithmetic number, because the mean of its divisors is an integer number (63284247).

Almost surely, 22423013510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2423013510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3037643856).

2423013510 is an abundant number, since it is smaller than the sum of its proper divisors (3652274202).

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

2423013510 is a wasteful number, since it uses less digits than its factorization.

2423013510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2423013510 is about 49224.1151266328. The cubic root of 2423013510 is about 1343.1317390604.

Adding to 2423013510 its reverse (153103242), we get a palindrome (2576116752).

The spelling of 2423013510 in words is "two billion, four hundred twenty-three million, thirteen thousand, five hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 137 145 174 274 290 411 435 685 701 822 841 870 1370 1402 1682 2055 2103 2523 3505 3973 4110 4205 4206 5046 7010 7946 8410 10515 11919 12615 19865 20329 21030 23838 25230 39730 40658 59595 60987 96037 101645 115217 119190 121974 192074 203290 230434 288111 304935 345651 480185 576085 576222 589541 609870 691302 960370 1152170 1179082 1440555 1728255 1768623 2785073 2881110 2947705 3456510 3537246 5570146 5895410 8355219 8843115 13925365 16710438 17686230 27850730 41776095 80767117 83552190 161534234 242301351 403835585 484602702 807671170 1211506755 2423013510