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55430700 = 223521361233
BaseRepresentation
bin1101001101110…
…0111000101100
310212022011121220
43103130320230
5103142240300
65300023340
71242103353
oct323347054
9125264556
1055430700
112931a9a6
1216691b50
13b63a240
14750c99a
154cedda0
hex34dce2c

55430700 has 144 divisors (see below), whose sum is σ = 176301216. Its totient is φ = 13363200.

The previous prime is 55430689. The next prime is 55430701. The reversal of 55430700 is 703455.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55430701) 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, 237784 + ... + 238016.

It is an arithmetic number, because the mean of its divisors is an integer number (1224314).

Almost surely, 255430700 is an apocalyptic number.

55430700 is a gapful number since it is divisible by the number (50) 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 55430700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88150608).

55430700 is an abundant number, since it is smaller than the sum of its proper divisors (120870516).

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

55430700 is a wasteful number, since it uses less digits than its factorization.

55430700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 55430700 is about 7445.1796486049. The cubic root of 55430700 is about 381.2853519131.

The spelling of 55430700 in words is "fifty-five million, four hundred thirty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 61 65 75 78 100 122 130 150 156 183 195 233 244 260 300 305 325 366 390 466 610 650 699 732 780 793 915 932 975 1165 1220 1300 1398 1525 1586 1830 1950 2330 2379 2796 3029 3050 3172 3495 3660 3900 3965 4575 4660 4758 5825 6058 6100 6990 7930 9087 9150 9516 11650 11895 12116 13980 14213 15145 15860 17475 18174 18300 19825 23300 23790 28426 30290 34950 36348 39650 42639 45435 47580 56852 59475 60580 69900 71065 75725 79300 85278 90870 118950 142130 151450 170556 181740 184769 213195 227175 237900 284260 302900 355325 369538 426390 454350 554307 710650 739076 852780 908700 923845 1065975 1108614 1421300 1847690 2131950 2217228 2771535 3695380 4263900 4619225 5543070 9238450 11086140 13857675 18476900 27715350 55430700