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296071680 = 2935192029
BaseRepresentation
bin10001101001011…
…011001000000000
3202122002222222210
4101221123020000
51101243243210
645213502120
710223365512
oct2151331000
9678088883
10296071680
11142141043
12831a1940
1349453a58
142b46dbb2
151aed4e20
hex11a5b200

296071680 has 160 divisors (see below), whose sum is σ = 996811200. Its totient is φ = 74760192.

The previous prime is 296071651. The next prime is 296071691. The reversal of 296071680 is 86170692.

It is a tau number, because it is divible by the number of its divisors (160).

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, 144906 + ... + 146934.

It is an arithmetic number, because the mean of its divisors is an integer number (6230070).

Almost surely, 2296071680 is an apocalyptic number.

296071680 is a gapful number since it is divisible by the number (20) 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 296071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498405600).

296071680 is an abundant number, since it is smaller than the sum of its proper divisors (700739520).

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

296071680 is a wasteful number, since it uses less digits than its factorization.

296071680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 296071680 is about 17206.7335656713. The cubic root of 296071680 is about 666.4981618572.

The spelling of 296071680 in words is "two hundred ninety-six million, seventy-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 256 285 304 320 380 384 456 480 512 570 608 640 760 768 912 960 1140 1216 1280 1520 1536 1824 1920 2029 2280 2432 2560 3040 3648 3840 4058 4560 4864 6080 6087 7296 7680 8116 9120 9728 10145 12160 12174 14592 16232 18240 20290 24320 24348 29184 30435 32464 36480 38551 40580 48640 48696 60870 64928 72960 77102 81160 97392 115653 121740 129856 145920 154204 162320 192755 194784 231306 243480 259712 308408 324640 385510 389568 462612 486960 519424 578265 616816 649280 771020 779136 925224 973920 1038848 1156530 1233632 1298560 1542040 1558272 1850448 1947840 2313060 2467264 2597120 3084080 3116544 3700896 3895680 4626120 4934528 5194240 6168160 7401792 7791360 9252240 9869056 12336320 14803584 15582720 18504480 19738112 24672640 29607168 37008960 49345280 59214336 74017920 98690560 148035840 296071680