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155003420 = 225112132379
BaseRepresentation
bin10010011110100…
…10101000011100
3101210122222201102
421033102220130
5304140102140
623214132232
73561336005
oct1117225034
9353588642
10155003420
117a54a400
1243ab1078
1326161400
141682c1ac
15d91be15
hex93d2a1c

155003420 has 108 divisors (see below), whose sum is σ = 388450440. Its totient is φ = 51891840.

The previous prime is 155003369. The next prime is 155003423. The reversal of 155003420 is 24300551.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 155003392 and 155003401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155003423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 408791 + ... + 409169.

Almost surely, 2155003420 is an apocalyptic number.

155003420 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 155003420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194225220).

155003420 is an abundant number, since it is smaller than the sum of its proper divisors (233447020).

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

155003420 is a wasteful number, since it uses less digits than its factorization.

155003420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 155003420 is about 12450.0369477363. The cubic root of 155003420 is about 537.1724862534.

Adding to 155003420 its reverse (24300551), we get a palindrome (179303971).

The spelling of 155003420 in words is "one hundred fifty-five million, three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 121 130 143 169 220 242 260 286 338 379 484 572 605 676 715 758 845 1210 1430 1516 1573 1690 1859 1895 2420 2860 3146 3380 3718 3790 4169 4927 6292 7436 7580 7865 8338 9295 9854 15730 16676 18590 19708 20449 20845 24635 31460 37180 40898 41690 45859 49270 54197 64051 81796 83380 91718 98540 102245 108394 128102 183436 204490 216788 229295 256204 270985 320255 408980 458590 541970 596167 640510 704561 917180 1083940 1192334 1281020 1409122 2384668 2818244 2980835 3522805 5961670 7045610 7750171 11923340 14091220 15500342 31000684 38750855 77501710 155003420