Search a number
-
+
15154042420 = 225112171919387
BaseRepresentation
bin11100001110100000…
…00101011000110100
31110010010000010011101
432013100011120310
5222013413324140
610543415415444
71044350143456
oct160720053064
943103003141
1015154042420
116477075400
122b2b084584
131576731c0a
14a3a8822d6
155da5e199a
hex387405634

15154042420 has 144 divisors (see below), whose sum is σ = 38988492480. Its totient is φ = 4913187840.

The previous prime is 15154042357. The next prime is 15154042427. The reversal of 15154042420 is 2424045151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15154042427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 771967 + ... + 791353.

It is an arithmetic number, because the mean of its divisors is an integer number (270753420).

Almost surely, 215154042420 is an apocalyptic number.

15154042420 is a gapful number since it is divisible by the number (10) 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 15154042420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19494246240).

15154042420 is an abundant number, since it is smaller than the sum of its proper divisors (23834450060).

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

15154042420 is a wasteful number, since it uses less digits than its factorization.

15154042420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19454 (or 19441 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

Adding to 15154042420 its reverse (2424045151), we get a palindrome (17578087571).

It can be divided in two parts, 1515404 and 2420, that added together give a square (1517824 = 12322).

The spelling of 15154042420 in words is "fifteen billion, one hundred fifty-four million, forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 17 19 20 22 34 38 44 55 68 76 85 95 110 121 170 187 190 209 220 242 323 340 374 380 418 484 605 646 748 836 935 1045 1210 1292 1615 1870 2057 2090 2299 2420 3230 3553 3740 4114 4180 4598 6460 7106 8228 9196 10285 11495 14212 17765 19387 20570 22990 35530 38774 39083 41140 45980 71060 77548 78166 96935 156332 193870 195415 213257 329579 368353 387740 390830 426514 659158 736706 781660 853028 1066285 1318316 1473412 1647895 1841765 2132570 2345827 3295790 3625369 3683530 4051883 4265140 4691654 6262001 6591580 7250738 7367060 8103766 9383308 11729135 12524002 14501476 16207532 18126845 20259415 23458270 25048004 31310005 36253690 39879059 40518830 44570713 46916540 62620010 68882011 72507380 79758118 81037660 89141426 125240020 137764022 159516236 178282852 199395295 222853565 275528044 344410055 398790590 445707130 688820110 757702121 797581180 891414260 1377640220 1515404242 3030808484 3788510605 7577021210 15154042420