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1960899072 = 29311432699
BaseRepresentation
bin111010011100000…
…1111001000000000
312001122202222211120
41310320033020000
513003442232242
6522324512240
766410236626
oct16470171000
95048688746
101960899072
11916970550
1246884b680
13253336b12
141485db516
15b723c1ec
hex74e0f200

1960899072 has 160 divisors (see below), whose sum is σ = 5833555200. Its totient is φ = 580177920.

The previous prime is 1960899049. The next prime is 1960899077. The reversal of 1960899072 is 2709980691.

It is a happy number.

It is a super-2 number, since 2×19608990722 = 7690250341140922368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1960899077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 725179 + ... + 727877.

It is an arithmetic number, because the mean of its divisors is an integer number (36459720).

Almost surely, 21960899072 is an apocalyptic number.

1960899072 is a gapful number since it is divisible by the number (12) 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 1960899072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916777600).

1960899072 is an abundant number, since it is smaller than the sum of its proper divisors (3872656128).

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

1960899072 is a wasteful number, since it uses less digits than its factorization.

1960899072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The square root of 1960899072 is about 44282.0400614064. The cubic root of 1960899072 is about 1251.6562731315.

The spelling of 1960899072 in words is "one billion, nine hundred sixty million, eight hundred ninety-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 64 66 86 88 96 128 129 132 172 176 192 256 258 264 344 352 384 473 512 516 528 688 704 768 946 1032 1056 1376 1408 1419 1536 1892 2064 2112 2699 2752 2816 2838 3784 4128 4224 5398 5504 5632 5676 7568 8097 8256 8448 10796 11008 11352 15136 16194 16512 16896 21592 22016 22704 29689 30272 32388 33024 43184 45408 59378 60544 64776 66048 86368 89067 90816 116057 118756 121088 129552 172736 178134 181632 232114 237512 242176 259104 345472 348171 356268 363264 464228 475024 518208 690944 696342 712536 726528 928456 950048 1036416 1276627 1381888 1392684 1425072 1856912 1900096 2072832 2553254 2785368 2850144 3713824 3800192 3829881 4145664 5106508 5570736 5700288 7427648 7600384 7659762 10213016 11141472 11400576 14855296 15200768 15319524 20426032 22282944 22801152 29710592 30639048 40852064 44565888 45602304 59421184 61278096 81704128 89131776 122556192 163408256 178263552 245112384 326816512 490224768 653633024 980449536 1960899072