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30104960 = 275172767
BaseRepresentation
bin111001011010…
…1110110000000
32002122111020112
41302311312000
530201324320
62553130452
7513613364
oct162656600
962574215
1030104960
1115aa2336
12a0b9a28
1363109b2
143dd92a4
152999ec5
hex1cb5d80

30104960 has 64 divisors (see below), whose sum is σ = 76230720. Its totient is φ = 11329536.

The previous prime is 30104933. The next prime is 30104989. The reversal of 30104960 is 6940103.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9497 + ... + 12263.

It is an arithmetic number, because the mean of its divisors is an integer number (1191105).

Almost surely, 230104960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38115360).

30104960 is an abundant number, since it is smaller than the sum of its proper divisors (46125760).

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

30104960 is a wasteful number, since it uses less digits than its factorization.

30104960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 30104960 is about 5486.7987023400. The cubic root of 30104960 is about 311.0852011680.

The spelling of 30104960 in words is "thirty million, one hundred four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1360 2176 2720 2767 5440 5534 10880 11068 13835 22136 27670 44272 47039 55340 88544 94078 110680 177088 188156 221360 235195 354176 376312 442720 470390 752624 885440 940780 1505248 1770880 1881560 3010496 3763120 6020992 7526240 15052480 30104960