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2994923520 = 21132532497
BaseRepresentation
bin1011001010000010…
…1110100000000000
321201201110212201100
42302200232200000
522113200023040
61213103334400
7134134300311
oct26240564000
97651425640
102994923520
1112a7613406
126b6bb1400
133896279c4
14205a84608
15127ddeb30
hexb282e800

2994923520 has 144 divisors (see below), whose sum is σ = 10380186180. Its totient is φ = 798621696.

The previous prime is 2994923509. The next prime is 2994923557. The reversal of 2994923520 is 253294992.

2994923520 is a `hidden beast` number, since 299 + 4 + 9 + 2 + 352 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2962842624 + 32080896 = 54432^2 + 5664^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75912 + ... + 108408.

Almost surely, 22994923520 is an apocalyptic number.

2994923520 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 2994923520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5190093090).

2994923520 is an abundant number, since it is smaller than the sum of its proper divisors (7385262660).

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

2994923520 is a wasteful number, since it uses less digits than its factorization.

2994923520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32530 (or 32507 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 2994923520 is about 54725.8944193697. The cubic root of 2994923520 is about 1441.4356053373.

The spelling of 2994923520 in words is "two billion, nine hundred ninety-four million, nine hundred twenty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4608 5120 5760 6144 7680 9216 10240 11520 15360 18432 23040 30720 32497 46080 64994 92160 97491 129988 162485 194982 259976 292473 324970 389964 487455 519952 584946 649940 779928 974910 1039904 1169892 1299880 1462365 1559856 1949820 2079808 2339784 2599760 2924730 3119712 3899640 4159616 4679568 5199520 5849460 6239424 7799280 8319232 9359136 10399040 11698920 12478848 15598560 16638464 18718272 20798080 23397840 24957696 31197120 33276928 37436544 41596160 46795680 49915392 62394240 66553856 74873088 83192320 93591360 99830784 124788480 149746176 166384640 187182720 199661568 249576960 299492352 332769280 374365440 499153920 598984704 748730880 998307840 1497461760 2994923520