Search a number
-
+
1052976640 = 2952391721
BaseRepresentation
bin111110110000110…
…010011000000000
32201101100202101211
4332300302120000
54124030223030
6252252535504
735044103512
oct7660623000
92641322354
101052976640
114a0417a31
12254781594
1313a1c8401
149dbbbbb2
156269812a
hex3ec32600

1052976640 has 80 divisors (see below), whose sum is σ = 2536712640. Its totient is φ = 419184640.

The previous prime is 1052976607. The next prime is 1052976643. The reversal of 1052976640 is 466792501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10529766402 = 2217519608771379200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1052976593 and 1052976602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052976643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 610980 + ... + 612700.

It is an arithmetic number, because the mean of its divisors is an integer number (31708908).

Almost surely, 21052976640 is an apocalyptic number.

1052976640 is a gapful number since it is divisible by the number (10) 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 1052976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268356320).

1052976640 is an abundant number, since it is smaller than the sum of its proper divisors (1483736000).

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

1052976640 is an equidigital number, since it uses as much as digits as its factorization.

1052976640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 1052976640 is about 32449.6015383856. The cubic root of 1052976640 is about 1017.3559097053.

The spelling of 1052976640 in words is "one billion, fifty-two million, nine hundred seventy-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 239 256 320 478 512 640 956 1195 1280 1721 1912 2390 2560 3442 3824 4780 6884 7648 8605 9560 13768 15296 17210 19120 27536 30592 34420 38240 55072 61184 68840 76480 110144 122368 137680 152960 220288 275360 305920 411319 440576 550720 611840 822638 881152 1101440 1645276 2056595 2202880 3290552 4113190 4405760 6581104 8226380 13162208 16452760 26324416 32905520 52648832 65811040 105297664 131622080 210595328 263244160 526488320 1052976640