Search a number
-
+
1052531040 = 253511199343
BaseRepresentation
bin111110101111000…
…101100101100000
32201100112010011010
4332233011211200
54123421443130
6252235220520
735040236421
oct7657054540
92640463133
101052531040
114a0143170
122545a7740
1313a0a0642
149db03648
156260b0b0
hex3ebc5960

1052531040 has 96 divisors (see below), whose sum is σ = 3616897536. Its totient is φ = 255157760.

The previous prime is 1052531033. The next prime is 1052531059. The reversal of 1052531040 is 401352501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10525310402 = 2215643180326963200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1052530998 and 1052531016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94392 + ... + 104951.

It is an arithmetic number, because the mean of its divisors is an integer number (37676016).

Almost surely, 21052531040 is an apocalyptic number.

1052531040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1052531040 is an abundant number, since it is smaller than the sum of its proper divisors (2564366496).

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

1052531040 is a wasteful number, since it uses less digits than its factorization.

1052531040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199372 (or 199364 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 1052531040 is about 32442.7347799164. The cubic root of 1052531040 is about 1017.2123807992.

Adding to 1052531040 its reverse (401352501), we get a palindrome (1453883541).

The spelling of 1052531040 in words is "one billion, fifty-two million, five hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 199343 398686 598029 797372 996715 1196058 1594744 1993430 2192773 2392116 2990145 3189488 3986860 4385546 4784232 5980290 6378976 6578319 7973720 8771092 9568464 10963865 11960580 13156638 15947440 17542184 19136928 21927730 23921160 26313276 31894880 32891595 35084368 43855460 47842320 52626552 65783190 70168736 87710920 95684640 105253104 131566380 175421840 210506208 263132760 350843680 526265520 1052531040