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146030080 = 295729281
BaseRepresentation
bin10001011010000…
…11111000000000
3101011210002121111
420231003320000
5244340430310
622253533104
73422143450
oct1055037000
9334702544
10146030080
1175480619
1240aa4194
132433bc41
1415573d60
15cc4828a
hex8b43e00

146030080 has 160 divisors (see below), whose sum is σ = 415419840. Its totient is φ = 48168960.

The previous prime is 146030063. The next prime is 146030111. The reversal of 146030080 is 80030641.

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

It is a congruent number.

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, 519540 + ... + 519820.

It is an arithmetic number, because the mean of its divisors is an integer number (2596374).

Almost surely, 2146030080 is an apocalyptic number.

146030080 is a gapful number since it is divisible by the number (10) 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 146030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207709920).

146030080 is an abundant number, since it is smaller than the sum of its proper divisors (269389760).

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

146030080 is an equidigital number, since it uses as much as digits as its factorization.

146030080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 146030080 is about 12084.2906287461. The cubic root of 146030080 is about 526.5999025198.

The spelling of 146030080 in words is "one hundred forty-six million, thirty thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 64 70 80 112 116 128 140 145 160 203 224 232 256 280 281 290 320 406 448 464 512 560 562 580 640 812 896 928 1015 1120 1124 1160 1280 1405 1624 1792 1856 1967 2030 2240 2248 2320 2560 2810 3248 3584 3712 3934 4060 4480 4496 4640 5620 6496 7424 7868 8120 8149 8960 8992 9280 9835 11240 12992 14848 15736 16240 16298 17920 17984 18560 19670 22480 25984 31472 32480 32596 35968 37120 39340 40745 44960 51968 57043 62944 64960 65192 71936 74240 78680 81490 89920 103936 114086 125888 129920 130384 143872 157360 162980 179840 228172 251776 259840 260768 285215 314720 325960 359680 456344 503552 519680 521536 570430 629440 651920 719360 912688 1007104 1043072 1140860 1258880 1303840 1825376 2086144 2281720 2517760 2607680 3650752 4172288 4563440 5035520 5215360 7301504 9126880 10430720 14603008 18253760 20861440 29206016 36507520 73015040 146030080