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1154053152 = 253272324889
BaseRepresentation
bin100010011001001…
…0111010000100000
32222102112222022100
41010302113100200
54330414200102
6310303210400
740412201310
oct10462272040
92872488270
101154053152
1154248423a
122825a6a00
13155127bb5
14ad3ad440
156b4b1a1c
hex44c97420

1154053152 has 144 divisors (see below), whose sum is σ = 3913902720. Its totient is φ = 315380736.

The previous prime is 1154053139. The next prime is 1154053163. The reversal of 1154053152 is 2513504511.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×11540531522 = 2663677355282270208, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33924 + ... + 58812.

It is an arithmetic number, because the mean of its divisors is an integer number (27179880).

Almost surely, 21154053152 is an apocalyptic number.

1154053152 is a gapful number since it is divisible by the number (12) 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 1154053152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956951360).

1154053152 is an abundant number, since it is smaller than the sum of its proper divisors (2759849568).

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

1154053152 is a wasteful number, since it uses less digits than its factorization.

1154053152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24935 (or 24924 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 1154053152 is about 33971.3578180208. The cubic root of 1154053152 is about 1048.9189635822.

Adding to 1154053152 its reverse (2513504511), we get a palindrome (3667557663).

The spelling of 1154053152 in words is "one billion, one hundred fifty-four million, fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 69 72 84 92 96 112 126 138 144 161 168 184 207 224 252 276 288 322 336 368 414 483 504 552 644 672 736 828 966 1008 1104 1288 1449 1656 1932 2016 2208 2576 2898 3312 3864 5152 5796 6624 7728 11592 15456 23184 24889 46368 49778 74667 99556 149334 174223 199112 224001 298668 348446 398224 448002 522669 572447 597336 696892 796448 896004 1045338 1144894 1194672 1393784 1568007 1717341 1792008 2090676 2289788 2389344 2787568 3136014 3434682 3584016 4007129 4181352 4579576 5152023 5575136 6272028 6869364 7168032 8014258 8362704 9159152 10304046 12021387 12544056 13738728 16028516 16725408 18318304 20608092 24042774 25088112 27477456 32057032 36064161 41216184 48085548 50176224 54954912 64114064 72128322 82432368 96171096 128228128 144256644 164864736 192342192 288513288 384684384 577026576 1154053152