Search a number
-
+
2054153040 = 243561193727
BaseRepresentation
bin111101001101111…
…1110001101010000
312022011020210020020
41322123332031100
513201330344130
6535455343440
7101622004242
oct17233761520
95264223206
102054153040
11964574645
12493b21b80
13269757b94
14156b54092
15c050ce10
hex7a6fe350

2054153040 has 160 divisors (see below), whose sum is σ = 6514749696. Its totient is φ = 535265280.

The previous prime is 2054153029. The next prime is 2054153071. The reversal of 2054153040 is 403514502.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2054153040.

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, 2825157 + ... + 2825883.

Almost surely, 22054153040 is an apocalyptic number.

2054153040 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 2054153040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257374848).

2054153040 is an abundant number, since it is smaller than the sum of its proper divisors (4460596656).

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

2054153040 is a wasteful number, since it uses less digits than its factorization.

2054153040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 991 counting only the distinct ones).

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

The square root of 2054153040 is about 45322.7651407105. The cubic root of 2054153040 is about 1271.1913593805.

Adding to 2054153040 its reverse (403514502), we get a palindrome (2457667542).

The spelling of 2054153040 in words is "two billion, fifty-four million, one hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 193 240 244 305 366 386 488 579 610 727 732 772 915 965 976 1158 1220 1454 1464 1544 1830 1930 2181 2316 2440 2895 2908 2928 3088 3635 3660 3860 4362 4632 4880 5790 5816 7270 7320 7720 8724 9264 10905 11580 11632 11773 14540 14640 15440 17448 21810 23160 23546 29080 34896 35319 43620 44347 46320 47092 58160 58865 70638 87240 88694 94184 117730 133041 140311 141276 174480 176595 177388 188368 221735 235460 266082 280622 282552 353190 354776 420933 443470 470920 532164 561244 565104 665205 701555 706380 709552 841866 886940 941840 1064328 1122488 1330410 1403110 1412760 1683732 1773880 2104665 2128656 2244976 2660820 2806220 2825520 3367464 3547760 4209330 5321640 5612440 6734928 8418660 8558971 10643280 11224880 16837320 17117942 25676913 33674640 34235884 42794855 51353826 68471768 85589710 102707652 128384565 136943536 171179420 205415304 256769130 342358840 410830608 513538260 684717680 1027076520 2054153040