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4949120 = 275111937
BaseRepresentation
bin10010111000010010000000
3100022102220202
4102320102000
52231332440
6254024332
760031631
oct22702200
910272822
104949120
112880390
1217a80a8
131043897
1492b888
1567b615
hex4b8480

4949120 has 128 divisors (see below), whose sum is σ = 13953600. Its totient is φ = 1658880.

The previous prime is 4949107. The next prime is 4949141. The reversal of 4949120 is 219494.

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

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133742 + ... + 133778.

Almost surely, 24949120 is an apocalyptic number.

4949120 is a gapful number since it is divisible by the number (40) 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 4949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6976800).

4949120 is an abundant number, since it is smaller than the sum of its proper divisors (9004480).

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

4949120 is a wasteful number, since it uses less digits than its factorization.

4949120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 4949120 is about 2224.6617720454. The cubic root of 4949120 is about 170.4155921871.

The spelling of 4949120 in words is "four million, nine hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 37 38 40 44 55 64 74 76 80 88 95 110 128 148 152 160 176 185 190 209 220 296 304 320 352 370 380 407 418 440 592 608 640 703 704 740 760 814 836 880 1045 1184 1216 1406 1408 1480 1520 1628 1672 1760 2035 2090 2368 2432 2812 2960 3040 3256 3344 3515 3520 4070 4180 4736 5624 5920 6080 6512 6688 7030 7040 7733 8140 8360 11248 11840 12160 13024 13376 14060 15466 16280 16720 22496 23680 26048 26752 28120 30932 32560 33440 38665 44992 52096 56240 61864 65120 66880 77330 89984 112480 123728 130240 133760 154660 224960 247456 260480 309320 449920 494912 618640 989824 1237280 2474560 4949120