Search a number
-
+
2554134000 = 243531138699
BaseRepresentation
bin1001100000111100…
…1111110111110000
320121000001110011120
42120033033313300
520212324242000
61101235542240
7120202531545
oct23017176760
96530043146
102554134000
1110a0818750
125b345a980
133192043c2
141a3302bcc
15ee3706a0
hex983cfdf0

2554134000 has 160 divisors (see below), whose sum is σ = 8983353600. Its totient is φ = 619168000.

The previous prime is 2554133983. The next prime is 2554134031. The reversal of 2554134000 is 4314552.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46651 + ... + 85349.

It is an arithmetic number, because the mean of its divisors is an integer number (56145960).

Almost surely, 22554134000 is an apocalyptic number.

2554134000 is a gapful number since it is divisible by the number (20) 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 2554134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4491676800).

2554134000 is an abundant number, since it is smaller than the sum of its proper divisors (6429219600).

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

2554134000 is a wasteful number, since it uses less digits than its factorization.

2554134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38736 (or 38720 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2554134000 is about 50538.4408148886. The cubic root of 2554134000 is about 1366.9350917002.

Adding to 2554134000 its reverse (4314552), we get a palindrome (2558448552).

The spelling of 2554134000 in words is "two billion, five hundred fifty-four million, one hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 38699 66000 77398 116097 154796 193495 232194 309592 386990 425689 464388 580485 619184 773980 851378 928776 967475 1160970 1277067 1547960 1702756 1857552 1934950 2128445 2321940 2554134 2902425 3095920 3405512 3869900 4256890 4643880 4837375 5108268 5804850 6385335 6811024 7739800 8513780 9287760 9674750 10216536 10642225 11609700 12770670 14512125 15479600 17027560 19349500 20433072 21284450 23219400 25541340 29024250 31926675 34055120 38699000 42568900 46438800 51082680 53211125 58048500 63853350 77398000 85137800 102165360 106422250 116097000 127706700 159633375 170275600 212844500 232194000 255413400 319266750 425689000 510826800 638533500 851378000 1277067000 2554134000