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2154544080 = 2435132572687
BaseRepresentation
bin1000000001101011…
…1011101111010000
312120011011011211220
42000122323233100
513403030402310
6553443205040
7104251215423
oct20032735720
95504134756
102154544080
11a06202947
12501676780
132844a7670
141662079ba
15c923d670
hex806bbbd0

2154544080 has 160 divisors (see below), whose sum is σ = 7223537664. Its totient is φ = 528089088.

The previous prime is 2154544057. The next prime is 2154544081. The reversal of 2154544080 is 804454512.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2154544081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 800497 + ... + 803183.

Almost surely, 22154544080 is an apocalyptic number.

2154544080 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 2154544080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3611768832).

2154544080 is an abundant number, since it is smaller than the sum of its proper divisors (5068993584).

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

2154544080 is a wasteful number, since it uses less digits than its factorization.

2154544080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2973 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

The square root of 2154544080 is about 46417.0666888807. The cubic root of 2154544080 is about 1291.5715238326.

Adding to 2154544080 its reverse (804454512), we get a palindrome (2958998592).

The spelling of 2154544080 in words is "two billion, one hundred fifty-four million, five hundred forty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 257 260 312 390 514 520 624 771 780 1028 1040 1285 1542 1560 2056 2570 2687 3084 3120 3341 3855 4112 5140 5374 6168 6682 7710 8061 10023 10280 10748 12336 13364 13435 15420 16122 16705 20046 20560 21496 26728 26870 30840 32244 33410 34931 40092 40305 42992 50115 53456 53740 61680 64488 66820 69862 80184 80610 100230 104793 107480 128976 133640 139724 160368 161220 174655 200460 209586 214960 267280 279448 322440 349310 400920 419172 523965 558896 644880 690559 698620 801840 838344 1047930 1381118 1397240 1676688 2071677 2095860 2762236 2794480 3452795 4143354 4191720 5524472 6905590 8286708 8383440 8977267 10358385 11048944 13811180 16573416 17954534 20716770 26931801 27622360 33146832 35909068 41433540 44886335 53863602 55244720 71818136 82867080 89772670 107727204 134659005 143636272 165734160 179545340 215454408 269318010 359090680 430908816 538636020 718181360 1077272040 2154544080