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1040220160 = 21557907
BaseRepresentation
bin111110000000001…
…000000000000000
32200111100122210121
4332000020000000
54112244021120
6251115310024
734530503560
oct7600100000
92614318717
101040220160
114941a4891
1225044b314
1313767ccb5
149c21ada0
15614c85aa
hex3e008000

1040220160 has 128 divisors (see below), whose sum is σ = 2856277440. Its totient is φ = 356253696.

The previous prime is 1040220101. The next prime is 1040220161. The reversal of 1040220160 is 610220401.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1040220161) 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, 1146427 + ... + 1147333.

Almost surely, 21040220160 is an apocalyptic number.

1040220160 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 1040220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428138720).

1040220160 is an abundant number, since it is smaller than the sum of its proper divisors (1816057280).

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

1040220160 is an frugal number, since it uses more digits than its factorization.

1040220160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1040220160 is about 32252.4442484597. Note that the first 3 decimals coincide. The cubic root of 1040220160 is about 1013.2308914600.

Adding to 1040220160 its reverse (610220401), we get a palindrome (1650440561).

The spelling of 1040220160 in words is "one billion, forty million, two hundred twenty thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 907 1024 1120 1280 1792 1814 2048 2240 2560 3584 3628 4096 4480 4535 5120 6349 7168 7256 8192 8960 9070 10240 12698 14336 14512 16384 17920 18140 20480 25396 28672 29024 31745 32768 35840 36280 40960 50792 57344 58048 63490 71680 72560 81920 101584 114688 116096 126980 143360 145120 163840 203168 229376 232192 253960 286720 290240 406336 464384 507920 573440 580480 812672 928768 1015840 1146880 1160960 1625344 1857536 2031680 2321920 3250688 3715072 4063360 4643840 6501376 7430144 8126720 9287680 13002752 14860288 16253440 18575360 26005504 29720576 32506880 37150720 52011008 65013760 74301440 104022016 130027520 148602880 208044032 260055040 520110080 1040220160