Search a number
-
+
154203420 = 22357379923
BaseRepresentation
bin10010011000011…
…11010100011100
3101202011100022210
421030033110130
5303434002140
623145040420
73551464440
oct1114172434
9352140283
10154203420
117a053348
1243786110
1325c41237
14166a0820
15d80ed80
hex930f51c

154203420 has 96 divisors (see below), whose sum is σ = 506838528. Its totient is φ = 34290432.

The previous prime is 154203397. The next prime is 154203433. The reversal of 154203420 is 24302451.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10579 + ... + 20501.

It is an arithmetic number, because the mean of its divisors is an integer number (5279568).

Almost surely, 2154203420 is an apocalyptic number.

154203420 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 154203420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253419264).

154203420 is an abundant number, since it is smaller than the sum of its proper divisors (352635108).

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

154203420 is a wasteful number, since it uses less digits than its factorization.

154203420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9979 (or 9977 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 154203420 is about 12417.8669665929. The cubic root of 154203420 is about 536.2467444557.

Adding to 154203420 its reverse (24302451), we get a palindrome (178505871).

The spelling of 154203420 in words is "one hundred fifty-four million, two hundred three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 60 70 74 84 105 111 140 148 185 210 222 259 370 420 444 518 555 740 777 1036 1110 1295 1554 2220 2590 3108 3885 5180 7770 9923 15540 19846 29769 39692 49615 59538 69461 99230 119076 138922 148845 198460 208383 277844 297690 347305 367151 416766 595380 694610 734302 833532 1041915 1101453 1389220 1468604 1835755 2083830 2202906 2570057 3671510 4167660 4405812 5140114 5507265 7343020 7710171 10280228 11014530 12850285 15420342 22029060 25700570 30840684 38550855 51401140 77101710 154203420