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1097363680 = 25571675867
BaseRepresentation
bin100000101101000…
…0111000011100000
32211110212211222021
41001122013003200
54221411114210
6300520151224
736123303010
oct10132070340
92743784867
101097363680
11513484636
12267608514
13146469a2a
14a5a53c40
1566514bda
hex416870e0

1097363680 has 96 divisors (see below), whose sum is σ = 2981131776. Its totient is φ = 373922304.

The previous prime is 1097363671. The next prime is 1097363689. The reversal of 1097363680 is 863637901.

It is an interprime number because it is at equal distance from previous prime (1097363671) and next prime (1097363689).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1097363689) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 184107 + ... + 189973.

It is an arithmetic number, because the mean of its divisors is an integer number (31053456).

Almost surely, 21097363680 is an apocalyptic number.

1097363680 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 1097363680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490565888).

1097363680 is an abundant number, since it is smaller than the sum of its proper divisors (1883768096).

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

1097363680 is a wasteful number, since it uses less digits than its factorization.

1097363680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6056 (or 6048 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The square root of 1097363680 is about 33126.4800424072. The cubic root of 1097363680 is about 1031.4547828154.

The spelling of 1097363680 in words is "one billion, ninety-seven million, three hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 167 224 280 334 560 668 835 1120 1169 1336 1670 2338 2672 3340 4676 5344 5845 5867 6680 9352 11690 11734 13360 18704 23380 23468 26720 29335 37408 41069 46760 46936 58670 82138 93520 93872 117340 164276 187040 187744 205345 234680 328552 410690 469360 657104 821380 938720 979789 1314208 1642760 1959578 3285520 3919156 4898945 6571040 6858523 7838312 9797890 13717046 15676624 19595780 27434092 31353248 34292615 39191560 54868184 68585230 78383120 109736368 137170460 156766240 219472736 274340920 548681840 1097363680