Search a number
-
+
55100430 = 23257117951
BaseRepresentation
bin1101001000110…
…0010000001110
310211200101120200
43102030100032
5103101203210
65244554330
71236226440
oct322142016
9124611520
1055100430
1129114850
12165529a6
13b552b08
147464490
154c860c0
hex348c40e

55100430 has 96 divisors (see below), whose sum is σ = 178633728. Its totient is φ = 11448000.

The previous prime is 55100429. The next prime is 55100453. The reversal of 55100430 is 3400155.

55100430 = T154 + T155 + ... + T693.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2955 + ... + 10905.

It is an arithmetic number, because the mean of its divisors is an integer number (1860768).

Almost surely, 255100430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55100430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89316864).

55100430 is an abundant number, since it is smaller than the sum of its proper divisors (123533298).

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

55100430 is a wasteful number, since it uses less digits than its factorization.

55100430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7982 (or 7979 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 55100430 is about 7422.9663881766. The cubic root of 55100430 is about 380.5265783687.

Adding to 55100430 its reverse (3400155), we get a palindrome (58500585).

The spelling of 55100430 in words is "fifty-five million, one hundred thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 126 154 165 198 210 231 315 330 385 462 495 630 693 770 990 1155 1386 2310 3465 6930 7951 15902 23853 39755 47706 55657 71559 79510 87461 111314 119265 143118 166971 174922 238530 262383 278285 333942 357795 437305 500913 524766 556570 612227 715590 787149 834855 874610 1001826 1224454 1311915 1574298 1669710 1836681 2504565 2623830 3061135 3673362 3935745 5009130 5510043 6122270 7871490 9183405 11020086 18366810 27550215 55100430