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149328400 = 2452132472
BaseRepresentation
bin10001110011010…
…01001000010000
3101101222200001111
420321221020100
5301212002100
622452343104
73462161524
oct1071511020
9341880044
10149328400
1177323701
1242014a94
1324c25300
1415b91d84
15d19a6ba
hex8e69210

149328400 has 135 divisors (see below), whose sum is σ = 396922791. Its totient is φ = 53963520.

The previous prime is 149328359. The next prime is 149328409. The reversal of 149328400 is 4823941.

The square root of 149328400 is 12220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 38489616 + 110838784 = 6204^2 + 10528^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (149328409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3177177 + ... + 3177223.

Almost surely, 2149328400 is an apocalyptic number.

149328400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

149328400 is the 12220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149328400

149328400 is an abundant number, since it is smaller than the sum of its proper divisors (247594391).

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

149328400 is a wasteful number, since it uses less digits than its factorization.

149328400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The cubic root of 149328400 is about 530.5351187220.

It can be divided in two parts, 14932 and 8400, that added together give a palindrome (23332).

The spelling of 149328400 in words is "one hundred forty-nine million, three hundred twenty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 47 50 52 65 80 94 100 104 130 169 188 200 208 235 260 325 338 376 400 470 520 611 650 676 752 845 940 1040 1175 1222 1300 1352 1690 1880 2209 2350 2444 2600 2704 3055 3380 3760 4225 4418 4700 4888 5200 6110 6760 7943 8450 8836 9400 9776 11045 12220 13520 15275 15886 16900 17672 18800 22090 24440 28717 30550 31772 33800 35344 39715 44180 48880 55225 57434 61100 63544 67600 79430 88360 110450 114868 122200 127088 143585 158860 176720 198575 220900 229736 244400 287170 317720 373321 397150 441800 459472 574340 635440 717925 746642 794300 883600 1148680 1435850 1493284 1588600 1866605 2297360 2871700 2986568 3177200 3733210 5743400 5973136 7466420 9333025 11486800 14932840 18666050 29865680 37332100 74664200 149328400